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Logarithm Table for base 688

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This page shows the logarithm table for base 688, in blocks of 100 values — each block covers one whole number N (its row lists N.0 through N.9, and each row's 10 columns walk the hundredths digit 0 through 9). Hover any cell to trace it back to its row and column, or print a block directly from its own header.

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Logarithm Table for base 688 — N = 1.00–1.99
N.i 0 1 2 3 4 5 6 7 8 9
1.0 0.000000 0.001523 0.003031 0.004524 0.006003 0.007467 0.008918 0.010355 0.011779 0.013190
1.1 0.014587 0.015972 0.017345 0.018705 0.020054 0.021391 0.022716 0.024030 0.025332 0.026624
1.2 0.027904 0.029175 0.030434 0.031684 0.032923 0.034152 0.035372 0.036582 0.037782 0.038973
1.3 0.040155 0.041328 0.042492 0.043647 0.044793 0.045931 0.047061 0.048182 0.049295 0.050400
1.4 0.051497 0.052587 0.053668 0.054742 0.055809 0.056868 0.057920 0.058965 0.060002 0.061033
1.5 0.062057 0.063074 0.064084 0.065087 0.066085 0.067075 0.068059 0.069037 0.070009 0.070975
1.6 0.071934 0.072888 0.073836 0.074777 0.075714 0.076644 0.077569 0.078488 0.079402 0.080310
1.7 0.081213 0.082111 0.083003 0.083890 0.084772 0.085650 0.086522 0.087389 0.088251 0.089108
1.8 0.089961 0.090809 0.091652 0.092491 0.093325 0.094155 0.094980 0.095800 0.096616 0.097428
1.9 0.098236 0.099040 0.099839 0.100634 0.101425 0.102212 0.102995 0.103773 0.104548 0.105319

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Logarithm Table for base 688 — N = 2.00–2.99
N.i 0 1 2 3 4 5 6 7 8 9
2.0 0.106087 0.106850 0.107609 0.108365 0.109117 0.109866 0.110611 0.111352 0.112089 0.112823
2.1 0.113554 0.114281 0.115005 0.115725 0.116442 0.117155 0.117865 0.118572 0.119276 0.119977
2.2 0.120674 0.121368 0.122059 0.122747 0.123432 0.124113 0.124792 0.125468 0.126141 0.126810
2.3 0.127477 0.128141 0.128802 0.129461 0.130116 0.130769 0.131419 0.132066 0.132710 0.133352
2.4 0.133991 0.134627 0.135261 0.135892 0.136521 0.137147 0.137770 0.138391 0.139009 0.139625
2.5 0.140239 0.140850 0.141458 0.142064 0.142668 0.143270 0.143869 0.144465 0.145060 0.145652
2.6 0.146242 0.146829 0.147414 0.147997 0.148578 0.149157 0.149733 0.150308 0.150880 0.151450
2.7 0.152018 0.152584 0.153147 0.153709 0.154269 0.154826 0.155382 0.155935 0.156487 0.157036
2.8 0.157584 0.158129 0.158673 0.159215 0.159755 0.160293 0.160829 0.161363 0.161895 0.162426
2.9 0.162955 0.163481 0.164006 0.164530 0.165051 0.165571 0.166089 0.166605 0.167119 0.167632
Logarithm Table for base 688 — N = 3.00–3.99
N.i 0 1 2 3 4 5 6 7 8 9
3.0 0.168143 0.168653 0.169160 0.169666 0.170170 0.170673 0.171174 0.171673 0.172171 0.172667
3.1 0.173162 0.173655 0.174146 0.174636 0.175124 0.175611 0.176096 0.176579 0.177061 0.177542
3.2 0.178021 0.178498 0.178974 0.179449 0.179922 0.180394 0.180864 0.181333 0.181800 0.182266
3.3 0.182730 0.183194 0.183655 0.184116 0.184574 0.185032 0.185488 0.185943 0.186397 0.186849
3.4 0.187300 0.187749 0.188197 0.188644 0.189090 0.189534 0.189977 0.190419 0.190859 0.191298
3.5 0.191736 0.192173 0.192608 0.193042 0.193475 0.193907 0.194338 0.194767 0.195195 0.195622
3.6 0.196048 0.196472 0.196896 0.197318 0.197739 0.198159 0.198577 0.198995 0.199412 0.199827
3.7 0.200241 0.200654 0.201066 0.201477 0.201887 0.202295 0.202703 0.203110 0.203515 0.203919
3.8 0.204323 0.204725 0.205126 0.205526 0.205925 0.206323 0.206720 0.207116 0.207511 0.207905
3.9 0.208298 0.208690 0.209081 0.209471 0.209860 0.210248 0.210635 0.211021 0.211406 0.211790
Logarithm Table for base 688 — N = 4.00–4.99
N.i 0 1 2 3 4 5 6 7 8 9
4.0 0.212173 0.212555 0.212936 0.213317 0.213696 0.214074 0.214452 0.214828 0.215204 0.215579
4.1 0.215952 0.216325 0.216697 0.217068 0.217438 0.217808 0.218176 0.218543 0.218910 0.219276
4.2 0.219640 0.220004 0.220368 0.220730 0.221091 0.221452 0.221811 0.222170 0.222528 0.222885
4.3 0.223242 0.223597 0.223952 0.224306 0.224659 0.225011 0.225363 0.225713 0.226063 0.226412
4.4 0.226760 0.227108 0.227455 0.227800 0.228145 0.228490 0.228833 0.229176 0.229518 0.229859
4.5 0.230200 0.230540 0.230879 0.231217 0.231554 0.231891 0.232227 0.232562 0.232897 0.233231
4.6 0.233564 0.233896 0.234228 0.234559 0.234889 0.235218 0.235547 0.235875 0.236203 0.236529
4.7 0.236855 0.237181 0.237505 0.237829 0.238152 0.238475 0.238797 0.239118 0.239438 0.239758
4.8 0.240078 0.240396 0.240714 0.241031 0.241348 0.241664 0.241979 0.242293 0.242607 0.242921
4.9 0.243233 0.243545 0.243857 0.244168 0.244478 0.244787 0.245096 0.245404 0.245712 0.246019
Logarithm Table for base 688 — N = 5.00–5.99
N.i 0 1 2 3 4 5 6 7 8 9
5.0 0.246325 0.246631 0.246936 0.247241 0.247545 0.247848 0.248151 0.248453 0.248755 0.249056
5.1 0.249356 0.249656 0.249955 0.250254 0.250552 0.250849 0.251146 0.251443 0.251738 0.252034
5.2 0.252328 0.252622 0.252916 0.253209 0.253501 0.253793 0.254084 0.254375 0.254665 0.254954
5.3 0.255243 0.255532 0.255820 0.256107 0.256394 0.256681 0.256966 0.257252 0.257536 0.257821
5.4 0.258104 0.258387 0.258670 0.258952 0.259234 0.259515 0.259795 0.260076 0.260355 0.260634
5.5 0.260913 0.261191 0.261468 0.261745 0.262022 0.262298 0.262573 0.262848 0.263123 0.263397
5.6 0.263670 0.263943 0.264216 0.264488 0.264760 0.265031 0.265301 0.265572 0.265841 0.266111
5.7 0.266379 0.266648 0.266915 0.267183 0.267450 0.267716 0.267982 0.268247 0.268512 0.268777
5.8 0.269041 0.269305 0.269568 0.269831 0.270093 0.270355 0.270616 0.270877 0.271138 0.271398
5.9 0.271657 0.271917 0.272175 0.272434 0.272692 0.272949 0.273206 0.273463 0.273719 0.273974
Logarithm Table for base 688 — N = 6.00–6.99
N.i 0 1 2 3 4 5 6 7 8 9
6.0 0.274230 0.274485 0.274739 0.274993 0.275247 0.275500 0.275753 0.276005 0.276257 0.276508
6.1 0.276760 0.277010 0.277261 0.277510 0.277760 0.278009 0.278258 0.278506 0.278754 0.279001
6.2 0.279248 0.279495 0.279741 0.279987 0.280233 0.280478 0.280722 0.280967 0.281210 0.281454
6.3 0.281697 0.281940 0.282182 0.282424 0.282666 0.282907 0.283148 0.283388 0.283628 0.283868
6.4 0.284107 0.284346 0.284585 0.284823 0.285061 0.285298 0.285536 0.285772 0.286009 0.286245
6.5 0.286480 0.286716 0.286951 0.287185 0.287419 0.287653 0.287887 0.288120 0.288353 0.288585
6.6 0.288817 0.289049 0.289280 0.289511 0.289742 0.289972 0.290202 0.290432 0.290661 0.290890
6.7 0.291119 0.291347 0.291575 0.291802 0.292030 0.292257 0.292483 0.292709 0.292935 0.293161
6.8 0.293386 0.293611 0.293836 0.294060 0.294284 0.294507 0.294731 0.294954 0.295176 0.295398
6.9 0.295620 0.295842 0.296063 0.296284 0.296505 0.296725 0.296946 0.297165 0.297385 0.297604
Logarithm Table for base 688 — N = 7.00–7.99
N.i 0 1 2 3 4 5 6 7 8 9
7.0 0.297823 0.298041 0.298259 0.298477 0.298695 0.298912 0.299129 0.299346 0.299562 0.299778
7.1 0.299994 0.300209 0.300424 0.300639 0.300853 0.301068 0.301282 0.301495 0.301708 0.301921
7.2 0.302134 0.302347 0.302559 0.302771 0.302982 0.303193 0.303404 0.303615 0.303825 0.304035
7.3 0.304245 0.304455 0.304664 0.304873 0.305082 0.305290 0.305498 0.305706 0.305913 0.306121
7.4 0.306328 0.306534 0.306741 0.306947 0.307153 0.307358 0.307564 0.307769 0.307973 0.308178
7.5 0.308382 0.308586 0.308790 0.308993 0.309196 0.309399 0.309602 0.309804 0.310006 0.310208
7.6 0.310409 0.310610 0.310811 0.311012 0.311213 0.311413 0.311613 0.311812 0.312012 0.312211
7.7 0.312410 0.312609 0.312807 0.313005 0.313203 0.313401 0.313598 0.313795 0.313992 0.314188
7.8 0.314385 0.314581 0.314777 0.314972 0.315168 0.315363 0.315558 0.315752 0.315947 0.316141
7.9 0.316334 0.316528 0.316721 0.316915 0.317107 0.317300 0.317493 0.317685 0.317877 0.318068
Logarithm Table for base 688 — N = 8.00–8.99
N.i 0 1 2 3 4 5 6 7 8 9
8.0 0.318260 0.318451 0.318642 0.318833 0.319023 0.319213 0.319403 0.319593 0.319783 0.319972
8.1 0.320161 0.320350 0.320538 0.320727 0.320915 0.321103 0.321290 0.321478 0.321665 0.321852
8.2 0.322039 0.322225 0.322412 0.322598 0.322784 0.322969 0.323155 0.323340 0.323525 0.323710
8.3 0.323894 0.324078 0.324262 0.324446 0.324630 0.324813 0.324996 0.325179 0.325362 0.325545
8.4 0.325727 0.325909 0.326091 0.326273 0.326454 0.326635 0.326816 0.326997 0.327178 0.327358
8.5 0.327538 0.327718 0.327898 0.328078 0.328257 0.328436 0.328615 0.328794 0.328972 0.329150
8.6 0.329328 0.329506 0.329684 0.329861 0.330039 0.330216 0.330392 0.330569 0.330746 0.330922
8.7 0.331098 0.331274 0.331449 0.331625 0.331800 0.331975 0.332150 0.332324 0.332499 0.332673
8.8 0.332847 0.333021 0.333194 0.333368 0.333541 0.333714 0.333887 0.334060 0.334232 0.334404
8.9 0.334576 0.334748 0.334920 0.335091 0.335263 0.335434 0.335605 0.335775 0.335946 0.336116
Logarithm Table for base 688 — N = 9.00–9.99
N.i 0 1 2 3 4 5 6 7 8 9
9.0 0.336286 0.336456 0.336626 0.336796 0.336965 0.337134 0.337303 0.337472 0.337641 0.337809
9.1 0.337978 0.338146 0.338314 0.338481 0.338649 0.338816 0.338983 0.339150 0.339317 0.339484
9.2 0.339650 0.339817 0.339983 0.340149 0.340314 0.340480 0.340645 0.340810 0.340975 0.341140
9.3 0.341305 0.341469 0.341634 0.341798 0.341962 0.342126 0.342289 0.342453 0.342616 0.342779
9.4 0.342942 0.343105 0.343267 0.343430 0.343592 0.343754 0.343916 0.344077 0.344239 0.344400
9.5 0.344561 0.344722 0.344883 0.345044 0.345205 0.345365 0.345525 0.345685 0.345845 0.346005
9.6 0.346164 0.346323 0.346483 0.346642 0.346800 0.346959 0.347118 0.347276 0.347434 0.347592
9.7 0.347750 0.347908 0.348065 0.348223 0.348380 0.348537 0.348694 0.348851 0.349007 0.349164
9.8 0.349320 0.349476 0.349632 0.349788 0.349943 0.350099 0.350254 0.350409 0.350564 0.350719
9.9 0.350874 0.351028 0.351183 0.351337 0.351491 0.351645 0.351798 0.351952 0.352106 0.352259
Logarithm Table for base 688 — N = 10.00–10.99
N.i 0 1 2 3 4 5 6 7 8 9
10.0 0.352412 0.352565 0.352718 0.352870 0.353023 0.353175 0.353327 0.353480 0.353631 0.353783
10.1 0.353935 0.354086 0.354238 0.354389 0.354540 0.354691 0.354841 0.354992 0.355142 0.355293
10.2 0.355443 0.355593 0.355743 0.355892 0.356042 0.356191 0.356340 0.356489 0.356638 0.356787
10.3 0.356936 0.357084 0.357233 0.357381 0.357529 0.357677 0.357825 0.357973 0.358120 0.358267
10.4 0.358415 0.358562 0.358709 0.358856 0.359002 0.359149 0.359295 0.359441 0.359587 0.359733
10.5 0.359879 0.360025 0.360171 0.360316 0.360461 0.360606 0.360751 0.360896 0.361041 0.361186
10.6 0.361330 0.361474 0.361619 0.361763 0.361906 0.362050 0.362194 0.362337 0.362481 0.362624
10.7 0.362767 0.362910 0.363053 0.363196 0.363338 0.363481 0.363623 0.363765 0.363907 0.364049
10.8 0.364191 0.364333 0.364474 0.364615 0.364757 0.364898 0.365039 0.365180 0.365320 0.365461
10.9 0.365601 0.365742 0.365882 0.366022 0.366162 0.366302 0.366442 0.366581 0.366721 0.366860
Logarithm Table for base 688 — N = 11.00–11.99
N.i 0 1 2 3 4 5 6 7 8 9
11.0 0.366999 0.367138 0.367277 0.367416 0.367555 0.367693 0.367832 0.367970 0.368108 0.368246
11.1 0.368384 0.368522 0.368660 0.368797 0.368935 0.369072 0.369209 0.369346 0.369483 0.369620
11.2 0.369757 0.369894 0.370030 0.370166 0.370303 0.370439 0.370575 0.370711 0.370846 0.370982
11.3 0.371117 0.371253 0.371388 0.371523 0.371658 0.371793 0.371928 0.372063 0.372197 0.372332
11.4 0.372466 0.372600 0.372734 0.372868 0.373002 0.373136 0.373269 0.373403 0.373536 0.373669
11.5 0.373803 0.373936 0.374069 0.374201 0.374334 0.374467 0.374599 0.374731 0.374864 0.374996
11.6 0.375128 0.375260 0.375391 0.375523 0.375655 0.375786 0.375917 0.376048 0.376180 0.376311
11.7 0.376441 0.376572 0.376703 0.376833 0.376964 0.377094 0.377224 0.377354 0.377484 0.377614
11.8 0.377744 0.377874 0.378003 0.378133 0.378262 0.378391 0.378520 0.378649 0.378778 0.378907
11.9 0.379036 0.379164 0.379293 0.379421 0.379549 0.379677 0.379805 0.379933 0.380061 0.380189
Logarithm Table for base 688 — N = 12.00–12.99
N.i 0 1 2 3 4 5 6 7 8 9
12.0 0.380316 0.380444 0.380571 0.380698 0.380826 0.380953 0.381080 0.381207 0.381333 0.381460
12.1 0.381586 0.381713 0.381839 0.381965 0.382092 0.382218 0.382344 0.382469 0.382595 0.382721
12.2 0.382846 0.382972 0.383097 0.383222 0.383347 0.383472 0.383597 0.383722 0.383846 0.383971
12.3 0.384096 0.384220 0.384344 0.384468 0.384592 0.384716 0.384840 0.384964 0.385088 0.385211
12.4 0.385335 0.385458 0.385581 0.385705 0.385828 0.385951 0.386074 0.386196 0.386319 0.386442
12.5 0.386564 0.386687 0.386809 0.386931 0.387053 0.387175 0.387297 0.387419 0.387541 0.387662
12.6 0.387784 0.387905 0.388026 0.388148 0.388269 0.388390 0.388511 0.388632 0.388752 0.388873
12.7 0.388994 0.389114 0.389234 0.389355 0.389475 0.389595 0.389715 0.389835 0.389955 0.390074
12.8 0.390194 0.390314 0.390433 0.390552 0.390672 0.390791 0.390910 0.391029 0.391148 0.391266
12.9 0.391385 0.391504 0.391622 0.391741 0.391859 0.391977 0.392095 0.392213 0.392331 0.392449
Logarithm Table for base 688 — N = 13.00–13.99
N.i 0 1 2 3 4 5 6 7 8 9
13.0 0.392567 0.392685 0.392802 0.392920 0.393037 0.393154 0.393272 0.393389 0.393506 0.393623
13.1 0.393740 0.393857 0.393973 0.394090 0.394206 0.394323 0.394439 0.394555 0.394672 0.394788
13.2 0.394904 0.395020 0.395135 0.395251 0.395367 0.395482 0.395598 0.395713 0.395828 0.395944
13.3 0.396059 0.396174 0.396289 0.396404 0.396518 0.396633 0.396748 0.396862 0.396977 0.397091
13.4 0.397205 0.397319 0.397433 0.397547 0.397661 0.397775 0.397889 0.398003 0.398116 0.398230
13.5 0.398343 0.398456 0.398570 0.398683 0.398796 0.398909 0.399022 0.399135 0.399247 0.399360
13.6 0.399473 0.399585 0.399698 0.399810 0.399922 0.400034 0.400146 0.400258 0.400370 0.400482
13.7 0.400594 0.400706 0.400817 0.400929 0.401040 0.401151 0.401263 0.401374 0.401485 0.401596
13.8 0.401707 0.401818 0.401929 0.402039 0.402150 0.402261 0.402371 0.402481 0.402592 0.402702
13.9 0.402812 0.402922 0.403032 0.403142 0.403252 0.403362 0.403471 0.403581 0.403690 0.403800
Logarithm Table for base 688 — N = 14.00–14.99
N.i 0 1 2 3 4 5 6 7 8 9
14.0 0.403909 0.404018 0.404128 0.404237 0.404346 0.404455 0.404564 0.404673 0.404781 0.404890
14.1 0.404999 0.405107 0.405215 0.405324 0.405432 0.405540 0.405648 0.405756 0.405864 0.405972
14.2 0.406080 0.406188 0.406296 0.406403 0.406511 0.406618 0.406725 0.406833 0.406940 0.407047
14.3 0.407154 0.407261 0.407368 0.407475 0.407582 0.407688 0.407795 0.407902 0.408008 0.408114
14.4 0.408221 0.408327 0.408433 0.408539 0.408645 0.408751 0.408857 0.408963 0.409069 0.409174
14.5 0.409280 0.409385 0.409491 0.409596 0.409702 0.409807 0.409912 0.410017 0.410122 0.410227
14.6 0.410332 0.410437 0.410541 0.410646 0.410751 0.410855 0.410960 0.411064 0.411168 0.411272
14.7 0.411377 0.411481 0.411585 0.411689 0.411792 0.411896 0.412000 0.412104 0.412207 0.412311
14.8 0.412414 0.412518 0.412621 0.412724 0.412827 0.412930 0.413033 0.413136 0.413239 0.413342
14.9 0.413445 0.413548 0.413650 0.413753 0.413855 0.413958 0.414060 0.414162 0.414264 0.414367
Logarithm Table for base 688 — N = 15.00–15.99
N.i 0 1 2 3 4 5 6 7 8 9
15.0 0.414469 0.414571 0.414673 0.414774 0.414876 0.414978 0.415080 0.415181 0.415283 0.415384
15.1 0.415486 0.415587 0.415688 0.415789 0.415890 0.415991 0.416092 0.416193 0.416294 0.416395
15.2 0.416496 0.416596 0.416697 0.416798 0.416898 0.416998 0.417099 0.417199 0.417299 0.417399
15.3 0.417499 0.417599 0.417699 0.417799 0.417899 0.417999 0.418098 0.418198 0.418298 0.418397
15.4 0.418496 0.418596 0.418695 0.418794 0.418893 0.418993 0.419092 0.419191 0.419289 0.419388
15.5 0.419487 0.419586 0.419684 0.419783 0.419882 0.419980 0.420078 0.420177 0.420275 0.420373
15.6 0.420471 0.420569 0.420667 0.420765 0.420863 0.420961 0.421059 0.421157 0.421254 0.421352
15.7 0.421449 0.421547 0.421644 0.421741 0.421839 0.421936 0.422033 0.422130 0.422227 0.422324
15.8 0.422421 0.422518 0.422615 0.422711 0.422808 0.422905 0.423001 0.423098 0.423194 0.423290
15.9 0.423387 0.423483 0.423579 0.423675 0.423771 0.423867 0.423963 0.424059 0.424155 0.424251
Logarithm Table for base 688 — N = 16.00–16.99
N.i 0 1 2 3 4 5 6 7 8 9
16.0 0.424346 0.424442 0.424537 0.424633 0.424728 0.424824 0.424919 0.425014 0.425110 0.425205
16.1 0.425300 0.425395 0.425490 0.425585 0.425680 0.425774 0.425869 0.425964 0.426058 0.426153
16.2 0.426248 0.426342 0.426436 0.426531 0.426625 0.426719 0.426813 0.426907 0.427001 0.427095
16.3 0.427189 0.427283 0.427377 0.427471 0.427564 0.427658 0.427752 0.427845 0.427939 0.428032
16.4 0.428125 0.428219 0.428312 0.428405 0.428498 0.428591 0.428684 0.428777 0.428870 0.428963
16.5 0.429056 0.429149 0.429241 0.429334 0.429426 0.429519 0.429611 0.429704 0.429796 0.429888
16.6 0.429981 0.430073 0.430165 0.430257 0.430349 0.430441 0.430533 0.430625 0.430716 0.430808
16.7 0.430900 0.430991 0.431083 0.431175 0.431266 0.431357 0.431449 0.431540 0.431631 0.431722
16.8 0.431814 0.431905 0.431996 0.432087 0.432178 0.432268 0.432359 0.432450 0.432541 0.432631
16.9 0.432722 0.432812 0.432903 0.432993 0.433084 0.433174 0.433264 0.433355 0.433445 0.433535
Logarithm Table for base 688 — N = 17.00–17.99
N.i 0 1 2 3 4 5 6 7 8 9
17.0 0.433625 0.433715 0.433805 0.433895 0.433985 0.434074 0.434164 0.434254 0.434343 0.434433
17.1 0.434523 0.434612 0.434701 0.434791 0.434880 0.434969 0.435059 0.435148 0.435237 0.435326
17.2 0.435415 0.435504 0.435593 0.435682 0.435770 0.435859 0.435948 0.436037 0.436125 0.436214
17.3 0.436302 0.436391 0.436479 0.436567 0.436656 0.436744 0.436832 0.436920 0.437008 0.437096
17.4 0.437184 0.437272 0.437360 0.437448 0.437536 0.437624 0.437711 0.437799 0.437886 0.437974
17.5 0.438061 0.438149 0.438236 0.438324 0.438411 0.438498 0.438585 0.438672 0.438759 0.438847
17.6 0.438934 0.439020 0.439107 0.439194 0.439281 0.439368 0.439454 0.439541 0.439628 0.439714
17.7 0.439801 0.439887 0.439974 0.440060 0.440146 0.440232 0.440319 0.440405 0.440491 0.440577
17.8 0.440663 0.440749 0.440835 0.440921 0.441006 0.441092 0.441178 0.441264 0.441349 0.441435
17.9 0.441520 0.441606 0.441691 0.441777 0.441862 0.441947 0.442033 0.442118 0.442203 0.442288
Logarithm Table for base 688 — N = 18.00–18.99
N.i 0 1 2 3 4 5 6 7 8 9
18.0 0.442373 0.442458 0.442543 0.442628 0.442713 0.442798 0.442882 0.442967 0.443052 0.443136
18.1 0.443221 0.443305 0.443390 0.443474 0.443559 0.443643 0.443727 0.443812 0.443896 0.443980
18.2 0.444064 0.444148 0.444232 0.444316 0.444400 0.444484 0.444568 0.444652 0.444735 0.444819
18.3 0.444903 0.444986 0.445070 0.445154 0.445237 0.445320 0.445404 0.445487 0.445570 0.445654
18.4 0.445737 0.445820 0.445903 0.445986 0.446069 0.446152 0.446235 0.446318 0.446401 0.446484
18.5 0.446566 0.446649 0.446732 0.446814 0.446897 0.446980 0.447062 0.447144 0.447227 0.447309
18.6 0.447391 0.447474 0.447556 0.447638 0.447720 0.447802 0.447884 0.447966 0.448048 0.448130
18.7 0.448212 0.448294 0.448376 0.448457 0.448539 0.448621 0.448702 0.448784 0.448866 0.448947
18.8 0.449028 0.449110 0.449191 0.449272 0.449354 0.449435 0.449516 0.449597 0.449678 0.449759
18.9 0.449840 0.449921 0.450002 0.450083 0.450164 0.450245 0.450325 0.450406 0.450487 0.450567
Logarithm Table for base 688 — N = 19.00–19.99
N.i 0 1 2 3 4 5 6 7 8 9
19.0 0.450648 0.450729 0.450809 0.450889 0.450970 0.451050 0.451131 0.451211 0.451291 0.451371
19.1 0.451451 0.451532 0.451612 0.451692 0.451772 0.451852 0.451931 0.452011 0.452091 0.452171
19.2 0.452251 0.452330 0.452410 0.452490 0.452569 0.452649 0.452728 0.452808 0.452887 0.452966
19.3 0.453046 0.453125 0.453204 0.453283 0.453363 0.453442 0.453521 0.453600 0.453679 0.453758
19.4 0.453837 0.453916 0.453994 0.454073 0.454152 0.454231 0.454309 0.454388 0.454467 0.454545
19.5 0.454624 0.454702 0.454780 0.454859 0.454937 0.455016 0.455094 0.455172 0.455250 0.455328
19.6 0.455406 0.455485 0.455563 0.455641 0.455718 0.455796 0.455874 0.455952 0.456030 0.456108
19.7 0.456185 0.456263 0.456341 0.456418 0.456496 0.456573 0.456651 0.456728 0.456806 0.456883
19.8 0.456960 0.457038 0.457115 0.457192 0.457269 0.457346 0.457423 0.457500 0.457577 0.457654
19.9 0.457731 0.457808 0.457885 0.457962 0.458039 0.458115 0.458192 0.458269 0.458345 0.458422
Logarithm Table for base 688 — N = 20.00–20.99
N.i 0 1 2 3 4 5 6 7 8 9
20.0 0.458498 0.458575 0.458651 0.458728 0.458804 0.458881 0.458957 0.459033 0.459109 0.459186
20.1 0.459262 0.459338 0.459414 0.459490 0.459566 0.459642 0.459718 0.459794 0.459870 0.459946
20.2 0.460021 0.460097 0.460173 0.460249 0.460324 0.460400 0.460475 0.460551 0.460626 0.460702
20.3 0.460777 0.460853 0.460928 0.461003 0.461078 0.461154 0.461229 0.461304 0.461379 0.461454
20.4 0.461529 0.461604 0.461679 0.461754 0.461829 0.461904 0.461979 0.462054 0.462128 0.462203
20.5 0.462278 0.462352 0.462427 0.462502 0.462576 0.462651 0.462725 0.462799 0.462874 0.462948
20.6 0.463022 0.463097 0.463171 0.463245 0.463319 0.463394 0.463468 0.463542 0.463616 0.463690
20.7 0.463764 0.463838 0.463911 0.463985 0.464059 0.464133 0.464207 0.464280 0.464354 0.464428
20.8 0.464501 0.464575 0.464648 0.464722 0.464795 0.464869 0.464942 0.465015 0.465089 0.465162
20.9 0.465235 0.465309 0.465382 0.465455 0.465528 0.465601 0.465674 0.465747 0.465820 0.465893
Logarithm Table for base 688 — N = 21.00–21.99
N.i 0 1 2 3 4 5 6 7 8 9
21.0 0.465966 0.466039 0.466112 0.466184 0.466257 0.466330 0.466403 0.466475 0.466548 0.466620
21.1 0.466693 0.466765 0.466838 0.466910 0.466983 0.467055 0.467128 0.467200 0.467272 0.467344
21.2 0.467417 0.467489 0.467561 0.467633 0.467705 0.467777 0.467849 0.467921 0.467993 0.468065
21.3 0.468137 0.468209 0.468280 0.468352 0.468424 0.468496 0.468567 0.468639 0.468711 0.468782
21.4 0.468854 0.468925 0.468997 0.469068 0.469139 0.469211 0.469282 0.469353 0.469425 0.469496
21.5 0.469567 0.469638 0.469710 0.469781 0.469852 0.469923 0.469994 0.470065 0.470136 0.470207
21.6 0.470277 0.470348 0.470419 0.470490 0.470561 0.470631 0.470702 0.470773 0.470843 0.470914
21.7 0.470984 0.471055 0.471125 0.471196 0.471266 0.471337 0.471407 0.471477 0.471548 0.471618
21.8 0.471688 0.471758 0.471828 0.471899 0.471969 0.472039 0.472109 0.472179 0.472249 0.472319
21.9 0.472388 0.472458 0.472528 0.472598 0.472668 0.472738 0.472807 0.472877 0.472947 0.473016
Logarithm Table for base 688 — N = 22.00–22.99
N.i 0 1 2 3 4 5 6 7 8 9
22.0 0.473086 0.473155 0.473225 0.473294 0.473364 0.473433 0.473503 0.473572 0.473641 0.473711
22.1 0.473780 0.473849 0.473918 0.473987 0.474057 0.474126 0.474195 0.474264 0.474333 0.474402
22.2 0.474471 0.474540 0.474609 0.474678 0.474746 0.474815 0.474884 0.474953 0.475021 0.475090
22.3 0.475159 0.475227 0.475296 0.475364 0.475433 0.475501 0.475570 0.475638 0.475707 0.475775
22.4 0.475844 0.475912 0.475980 0.476048 0.476117 0.476185 0.476253 0.476321 0.476389 0.476457
22.5 0.476525 0.476593 0.476661 0.476729 0.476797 0.476865 0.476933 0.477001 0.477068 0.477136
22.6 0.477204 0.477272 0.477339 0.477407 0.477475 0.477542 0.477610 0.477677 0.477745 0.477812
22.7 0.477880 0.477947 0.478014 0.478082 0.478149 0.478216 0.478284 0.478351 0.478418 0.478485
22.8 0.478552 0.478620 0.478687 0.478754 0.478821 0.478888 0.478955 0.479022 0.479089 0.479155
22.9 0.479222 0.479289 0.479356 0.479423 0.479489 0.479556 0.479623 0.479689 0.479756 0.479823
Logarithm Table for base 688 — N = 23.00–23.99
N.i 0 1 2 3 4 5 6 7 8 9
23.0 0.479889 0.479956 0.480022 0.480089 0.480155 0.480221 0.480288 0.480354 0.480421 0.480487
23.1 0.480553 0.480619 0.480686 0.480752 0.480818 0.480884 0.480950 0.481016 0.481082 0.481148
23.2 0.481214 0.481280 0.481346 0.481412 0.481478 0.481544 0.481610 0.481675 0.481741 0.481807
23.3 0.481873 0.481938 0.482004 0.482069 0.482135 0.482201 0.482266 0.482332 0.482397 0.482463
23.4 0.482528 0.482593 0.482659 0.482724 0.482789 0.482855 0.482920 0.482985 0.483050 0.483116
23.5 0.483181 0.483246 0.483311 0.483376 0.483441 0.483506 0.483571 0.483636 0.483701 0.483766
23.6 0.483831 0.483895 0.483960 0.484025 0.484090 0.484154 0.484219 0.484284 0.484348 0.484413
23.7 0.484478 0.484542 0.484607 0.484671 0.484736 0.484800 0.484865 0.484929 0.484993 0.485058
23.8 0.485122 0.485186 0.485251 0.485315 0.485379 0.485443 0.485507 0.485572 0.485636 0.485700
23.9 0.485764 0.485828 0.485892 0.485956 0.486020 0.486084 0.486148 0.486211 0.486275 0.486339
Logarithm Table for base 688 — N = 24.00–24.99
N.i 0 1 2 3 4 5 6 7 8 9
24.0 0.486403 0.486467 0.486530 0.486594 0.486658 0.486721 0.486785 0.486849 0.486912 0.486976
24.1 0.487039 0.487103 0.487166 0.487230 0.487293 0.487356 0.487420 0.487483 0.487546 0.487610
24.2 0.487673 0.487736 0.487799 0.487863 0.487926 0.487989 0.488052 0.488115 0.488178 0.488241
24.3 0.488304 0.488367 0.488430 0.488493 0.488556 0.488619 0.488682 0.488744 0.488807 0.488870
24.4 0.488933 0.488995 0.489058 0.489121 0.489183 0.489246 0.489309 0.489371 0.489434 0.489496
24.5 0.489559 0.489621 0.489684 0.489746 0.489808 0.489871 0.489933 0.489995 0.490058 0.490120
24.6 0.490182 0.490244 0.490306 0.490369 0.490431 0.490493 0.490555 0.490617 0.490679 0.490741
24.7 0.490803 0.490865 0.490927 0.490989 0.491051 0.491113 0.491174 0.491236 0.491298 0.491360
24.8 0.491421 0.491483 0.491545 0.491606 0.491668 0.491730 0.491791 0.491853 0.491914 0.491976
24.9 0.492037 0.492099 0.492160 0.492222 0.492283 0.492344 0.492406 0.492467 0.492528 0.492589
Logarithm Table for base 688 — N = 25.00–25.99
N.i 0 1 2 3 4 5 6 7 8 9
25.0 0.492651 0.492712 0.492773 0.492834 0.492895 0.492957 0.493018 0.493079 0.493140 0.493201
25.1 0.493262 0.493323 0.493384 0.493445 0.493505 0.493566 0.493627 0.493688 0.493749 0.493810
25.2 0.493870 0.493931 0.493992 0.494052 0.494113 0.494174 0.494234 0.494295 0.494355 0.494416
25.3 0.494476 0.494537 0.494597 0.494658 0.494718 0.494779 0.494839 0.494899 0.494960 0.495020
25.4 0.495080 0.495140 0.495201 0.495261 0.495321 0.495381 0.495441 0.495501 0.495561 0.495621
25.5 0.495682 0.495742 0.495802 0.495861 0.495921 0.495981 0.496041 0.496101 0.496161 0.496221
25.6 0.496281 0.496340 0.496400 0.496460 0.496520 0.496579 0.496639 0.496698 0.496758 0.496818
25.7 0.496877 0.496937 0.496996 0.497056 0.497115 0.497175 0.497234 0.497294 0.497353 0.497412
25.8 0.497472 0.497531 0.497590 0.497649 0.497709 0.497768 0.497827 0.497886 0.497945 0.498005
25.9 0.498064 0.498123 0.498182 0.498241 0.498300 0.498359 0.498418 0.498477 0.498536 0.498595
Logarithm Table for base 688 — N = 26.00–26.99
N.i 0 1 2 3 4 5 6 7 8 9
26.0 0.498653 0.498712 0.498771 0.498830 0.498889 0.498948 0.499006 0.499065 0.499124 0.499182
26.1 0.499241 0.499300 0.499358 0.499417 0.499475 0.499534 0.499592 0.499651 0.499709 0.499768
26.2 0.499826 0.499885 0.499943 0.500001 0.500060 0.500118 0.500176 0.500235 0.500293 0.500351
26.3 0.500409 0.500468 0.500526 0.500584 0.500642 0.500700 0.500758 0.500816 0.500874 0.500932
26.4 0.500990 0.501048 0.501106 0.501164 0.501222 0.501280 0.501338 0.501395 0.501453 0.501511
26.5 0.501569 0.501627 0.501684 0.501742 0.501800 0.501857 0.501915 0.501973 0.502030 0.502088
26.6 0.502145 0.502203 0.502260 0.502318 0.502375 0.502433 0.502490 0.502548 0.502605 0.502662
26.7 0.502720 0.502777 0.502834 0.502891 0.502949 0.503006 0.503063 0.503120 0.503177 0.503235
26.8 0.503292 0.503349 0.503406 0.503463 0.503520 0.503577 0.503634 0.503691 0.503748 0.503805
26.9 0.503862 0.503919 0.503976 0.504032 0.504089 0.504146 0.504203 0.504260 0.504316 0.504373
Logarithm Table for base 688 — N = 27.00–27.99
N.i 0 1 2 3 4 5 6 7 8 9
27.0 0.504430 0.504486 0.504543 0.504600 0.504656 0.504713 0.504769 0.504826 0.504882 0.504939
27.1 0.504995 0.505052 0.505108 0.505165 0.505221 0.505278 0.505334 0.505390 0.505447 0.505503
27.2 0.505559 0.505615 0.505672 0.505728 0.505784 0.505840 0.505896 0.505953 0.506009 0.506065
27.3 0.506121 0.506177 0.506233 0.506289 0.506345 0.506401 0.506457 0.506513 0.506569 0.506625
27.4 0.506680 0.506736 0.506792 0.506848 0.506904 0.506959 0.507015 0.507071 0.507127 0.507182
27.5 0.507238 0.507294 0.507349 0.507405 0.507460 0.507516 0.507572 0.507627 0.507683 0.507738
27.6 0.507794 0.507849 0.507904 0.507960 0.508015 0.508071 0.508126 0.508181 0.508237 0.508292
27.7 0.508347 0.508402 0.508458 0.508513 0.508568 0.508623 0.508678 0.508733 0.508788 0.508844
27.8 0.508899 0.508954 0.509009 0.509064 0.509119 0.509174 0.509229 0.509283 0.509338 0.509393
27.9 0.509448 0.509503 0.509558 0.509613 0.509667 0.509722 0.509777 0.509832 0.509886 0.509941
Logarithm Table for base 688 — N = 28.00–28.99
N.i 0 1 2 3 4 5 6 7 8 9
28.0 0.509996 0.510050 0.510105 0.510160 0.510214 0.510269 0.510323 0.510378 0.510432 0.510487
28.1 0.510541 0.510596 0.510650 0.510705 0.510759 0.510813 0.510868 0.510922 0.510976 0.511031
28.2 0.511085 0.511139 0.511194 0.511248 0.511302 0.511356 0.511410 0.511465 0.511519 0.511573
28.3 0.511627 0.511681 0.511735 0.511789 0.511843 0.511897 0.511951 0.512005 0.512059 0.512113
28.4 0.512167 0.512221 0.512274 0.512328 0.512382 0.512436 0.512490 0.512543 0.512597 0.512651
28.5 0.512705 0.512758 0.512812 0.512866 0.512919 0.512973 0.513027 0.513080 0.513134 0.513187
28.6 0.513241 0.513294 0.513348 0.513401 0.513455 0.513508 0.513562 0.513615 0.513668 0.513722
28.7 0.513775 0.513828 0.513882 0.513935 0.513988 0.514041 0.514095 0.514148 0.514201 0.514254
28.8 0.514307 0.514360 0.514414 0.514467 0.514520 0.514573 0.514626 0.514679 0.514732 0.514785
28.9 0.514838 0.514891 0.514944 0.514997 0.515050 0.515102 0.515155 0.515208 0.515261 0.515314
Logarithm Table for base 688 — N = 29.00–29.99
N.i 0 1 2 3 4 5 6 7 8 9
29.0 0.515366 0.515419 0.515472 0.515525 0.515577 0.515630 0.515683 0.515735 0.515788 0.515841
29.1 0.515893 0.515946 0.515998 0.516051 0.516104 0.516156 0.516209 0.516261 0.516314 0.516366
29.2 0.516418 0.516471 0.516523 0.516576 0.516628 0.516680 0.516733 0.516785 0.516837 0.516889
29.3 0.516942 0.516994 0.517046 0.517098 0.517150 0.517203 0.517255 0.517307 0.517359 0.517411
29.4 0.517463 0.517515 0.517567 0.517619 0.517671 0.517723 0.517775 0.517827 0.517879 0.517931
29.5 0.517983 0.518035 0.518087 0.518138 0.518190 0.518242 0.518294 0.518346 0.518397 0.518449
29.6 0.518501 0.518552 0.518604 0.518656 0.518707 0.518759 0.518811 0.518862 0.518914 0.518965
29.7 0.519017 0.519068 0.519120 0.519171 0.519223 0.519274 0.519326 0.519377 0.519429 0.519480
29.8 0.519531 0.519583 0.519634 0.519685 0.519737 0.519788 0.519839 0.519890 0.519942 0.519993
29.9 0.520044 0.520095 0.520146 0.520198 0.520249 0.520300 0.520351 0.520402 0.520453 0.520504
Logarithm Table for base 688 — N = 30.00–30.99
N.i 0 1 2 3 4 5 6 7 8 9
30.0 0.520555 0.520606 0.520657 0.520708 0.520759 0.520810 0.520861 0.520912 0.520963 0.521014
30.1 0.521064 0.521115 0.521166 0.521217 0.521268 0.521318 0.521369 0.521420 0.521471 0.521521
30.2 0.521572 0.521623 0.521673 0.521724 0.521775 0.521825 0.521876 0.521926 0.521977 0.522028
30.3 0.522078 0.522129 0.522179 0.522230 0.522280 0.522330 0.522381 0.522431 0.522482 0.522532
30.4 0.522582 0.522633 0.522683 0.522733 0.522784 0.522834 0.522884 0.522934 0.522985 0.523035
30.5 0.523085 0.523135 0.523185 0.523235 0.523286 0.523336 0.523386 0.523436 0.523486 0.523536
30.6 0.523586 0.523636 0.523686 0.523736 0.523786 0.523836 0.523886 0.523936 0.523986 0.524035
30.7 0.524085 0.524135 0.524185 0.524235 0.524285 0.524334 0.524384 0.524434 0.524484 0.524533
30.8 0.524583 0.524633 0.524682 0.524732 0.524782 0.524831 0.524881 0.524930 0.524980 0.525030
30.9 0.525079 0.525129 0.525178 0.525228 0.525277 0.525327 0.525376 0.525425 0.525475 0.525524
Logarithm Table for base 688 — N = 31.00–31.99
N.i 0 1 2 3 4 5 6 7 8 9
31.0 0.525574 0.525623 0.525672 0.525722 0.525771 0.525820 0.525870 0.525919 0.525968 0.526017
31.1 0.526067 0.526116 0.526165 0.526214 0.526263 0.526312 0.526362 0.526411 0.526460 0.526509
31.2 0.526558 0.526607 0.526656 0.526705 0.526754 0.526803 0.526852 0.526901 0.526950 0.526999
31.3 0.527048 0.527097 0.527145 0.527194 0.527243 0.527292 0.527341 0.527390 0.527438 0.527487
31.4 0.527536 0.527585 0.527633 0.527682 0.527731 0.527779 0.527828 0.527877 0.527925 0.527974
31.5 0.528023 0.528071 0.528120 0.528168 0.528217 0.528265 0.528314 0.528362 0.528411 0.528459
31.6 0.528508 0.528556 0.528604 0.528653 0.528701 0.528750 0.528798 0.528846 0.528895 0.528943
31.7 0.528991 0.529039 0.529088 0.529136 0.529184 0.529232 0.529281 0.529329 0.529377 0.529425
31.8 0.529473 0.529521 0.529569 0.529618 0.529666 0.529714 0.529762 0.529810 0.529858 0.529906
31.9 0.529954 0.530002 0.530050 0.530098 0.530146 0.530193 0.530241 0.530289 0.530337 0.530385
Logarithm Table for base 688 — N = 32.00–32.99
N.i 0 1 2 3 4 5 6 7 8 9
32.0 0.530433 0.530481 0.530528 0.530576 0.530624 0.530672 0.530720 0.530767 0.530815 0.530863
32.1 0.530910 0.530958 0.531006 0.531053 0.531101 0.531149 0.531196 0.531244 0.531291 0.531339
32.2 0.531386 0.531434 0.531481 0.531529 0.531576 0.531624 0.531671 0.531719 0.531766 0.531814
32.3 0.531861 0.531908 0.531956 0.532003 0.532050 0.532098 0.532145 0.532192 0.532240 0.532287
32.4 0.532334 0.532381 0.532429 0.532476 0.532523 0.532570 0.532617 0.532664 0.532712 0.532759
32.5 0.532806 0.532853 0.532900 0.532947 0.532994 0.533041 0.533088 0.533135 0.533182 0.533229
32.6 0.533276 0.533323 0.533370 0.533417 0.533464 0.533510 0.533557 0.533604 0.533651 0.533698
32.7 0.533745 0.533791 0.533838 0.533885 0.533932 0.533979 0.534025 0.534072 0.534119 0.534165
32.8 0.534212 0.534259 0.534305 0.534352 0.534399 0.534445 0.534492 0.534538 0.534585 0.534631
32.9 0.534678 0.534724 0.534771 0.534817 0.534864 0.534910 0.534957 0.535003 0.535050 0.535096
Logarithm Table for base 688 — N = 33.00–33.99
N.i 0 1 2 3 4 5 6 7 8 9
33.0 0.535142 0.535189 0.535235 0.535281 0.535328 0.535374 0.535420 0.535467 0.535513 0.535559
33.1 0.535606 0.535652 0.535698 0.535744 0.535790 0.535837 0.535883 0.535929 0.535975 0.536021
33.2 0.536067 0.536113 0.536159 0.536205 0.536251 0.536298 0.536344 0.536390 0.536436 0.536482
33.3 0.536528 0.536573 0.536619 0.536665 0.536711 0.536757 0.536803 0.536849 0.536895 0.536941
33.4 0.536986 0.537032 0.537078 0.537124 0.537170 0.537215 0.537261 0.537307 0.537353 0.537398
33.5 0.537444 0.537490 0.537535 0.537581 0.537627 0.537672 0.537718 0.537763 0.537809 0.537855
33.6 0.537900 0.537946 0.537991 0.538037 0.538082 0.538128 0.538173 0.538219 0.538264 0.538310
33.7 0.538355 0.538400 0.538446 0.538491 0.538537 0.538582 0.538627 0.538673 0.538718 0.538763
33.8 0.538808 0.538854 0.538899 0.538944 0.538989 0.539035 0.539080 0.539125 0.539170 0.539215
33.9 0.539261 0.539306 0.539351 0.539396 0.539441 0.539486 0.539531 0.539576 0.539621 0.539666
Logarithm Table for base 688 — N = 34.00–34.99
N.i 0 1 2 3 4 5 6 7 8 9
34.0 0.539711 0.539756 0.539801 0.539846 0.539891 0.539936 0.539981 0.540026 0.540071 0.540116
34.1 0.540161 0.540206 0.540251 0.540296 0.540340 0.540385 0.540430 0.540475 0.540520 0.540564
34.2 0.540609 0.540654 0.540699 0.540743 0.540788 0.540833 0.540877 0.540922 0.540967 0.541011
34.3 0.541056 0.541101 0.541145 0.541190 0.541234 0.541279 0.541323 0.541368 0.541413 0.541457
34.4 0.541502 0.541546 0.541590 0.541635 0.541679 0.541724 0.541768 0.541813 0.541857 0.541901
34.5 0.541946 0.541990 0.542034 0.542079 0.542123 0.542167 0.542212 0.542256 0.542300 0.542345
34.6 0.542389 0.542433 0.542477 0.542521 0.542566 0.542610 0.542654 0.542698 0.542742 0.542786
34.7 0.542830 0.542875 0.542919 0.542963 0.543007 0.543051 0.543095 0.543139 0.543183 0.543227
34.8 0.543271 0.543315 0.543359 0.543403 0.543447 0.543491 0.543535 0.543578 0.543622 0.543666
34.9 0.543710 0.543754 0.543798 0.543842 0.543885 0.543929 0.543973 0.544017 0.544061 0.544104
Logarithm Table for base 688 — N = 35.00–35.99
N.i 0 1 2 3 4 5 6 7 8 9
35.0 0.544148 0.544192 0.544235 0.544279 0.544323 0.544366 0.544410 0.544454 0.544497 0.544541
35.1 0.544585 0.544628 0.544672 0.544715 0.544759 0.544803 0.544846 0.544890 0.544933 0.544977
35.2 0.545020 0.545064 0.545107 0.545150 0.545194 0.545237 0.545281 0.545324 0.545368 0.545411
35.3 0.545454 0.545498 0.545541 0.545584 0.545628 0.545671 0.545714 0.545757 0.545801 0.545844
35.4 0.545887 0.545930 0.545974 0.546017 0.546060 0.546103 0.546146 0.546190 0.546233 0.546276
35.5 0.546319 0.546362 0.546405 0.546448 0.546491 0.546534 0.546577 0.546620 0.546663 0.546706
35.6 0.546749 0.546792 0.546835 0.546878 0.546921 0.546964 0.547007 0.547050 0.547093 0.547136
35.7 0.547179 0.547222 0.547265 0.547307 0.547350 0.547393 0.547436 0.547479 0.547521 0.547564
35.8 0.547607 0.547650 0.547692 0.547735 0.547778 0.547821 0.547863 0.547906 0.547949 0.547991
35.9 0.548034 0.548076 0.548119 0.548162 0.548204 0.548247 0.548289 0.548332 0.548375 0.548417
Logarithm Table for base 688 — N = 36.00–36.99
N.i 0 1 2 3 4 5 6 7 8 9
36.0 0.548460 0.548502 0.548545 0.548587 0.548630 0.548672 0.548714 0.548757 0.548799 0.548842
36.1 0.548884 0.548926 0.548969 0.549011 0.549054 0.549096 0.549138 0.549181 0.549223 0.549265
36.2 0.549307 0.549350 0.549392 0.549434 0.549477 0.549519 0.549561 0.549603 0.549645 0.549688
36.3 0.549730 0.549772 0.549814 0.549856 0.549898 0.549940 0.549982 0.550025 0.550067 0.550109
36.4 0.550151 0.550193 0.550235 0.550277 0.550319 0.550361 0.550403 0.550445 0.550487 0.550529
36.5 0.550571 0.550613 0.550654 0.550696 0.550738 0.550780 0.550822 0.550864 0.550906 0.550948
36.6 0.550989 0.551031 0.551073 0.551115 0.551157 0.551198 0.551240 0.551282 0.551324 0.551365
36.7 0.551407 0.551449 0.551490 0.551532 0.551574 0.551615 0.551657 0.551699 0.551740 0.551782
36.8 0.551823 0.551865 0.551907 0.551948 0.551990 0.552031 0.552073 0.552114 0.552156 0.552197
36.9 0.552239 0.552280 0.552322 0.552363 0.552405 0.552446 0.552487 0.552529 0.552570 0.552612
Logarithm Table for base 688 — N = 37.00–37.99
N.i 0 1 2 3 4 5 6 7 8 9
37.0 0.552653 0.552694 0.552736 0.552777 0.552818 0.552860 0.552901 0.552942 0.552984 0.553025
37.1 0.553066 0.553107 0.553149 0.553190 0.553231 0.553272 0.553313 0.553355 0.553396 0.553437
37.2 0.553478 0.553519 0.553560 0.553601 0.553643 0.553684 0.553725 0.553766 0.553807 0.553848
37.3 0.553889 0.553930 0.553971 0.554012 0.554053 0.554094 0.554135 0.554176 0.554217 0.554258
37.4 0.554299 0.554340 0.554381 0.554421 0.554462 0.554503 0.554544 0.554585 0.554626 0.554667
37.5 0.554707 0.554748 0.554789 0.554830 0.554871 0.554911 0.554952 0.554993 0.555034 0.555074
37.6 0.555115 0.555156 0.555196 0.555237 0.555278 0.555318 0.555359 0.555400 0.555440 0.555481
37.7 0.555521 0.555562 0.555603 0.555643 0.555684 0.555724 0.555765 0.555805 0.555846 0.555886
37.8 0.555927 0.555967 0.556008 0.556048 0.556089 0.556129 0.556170 0.556210 0.556250 0.556291
37.9 0.556331 0.556372 0.556412 0.556452 0.556493 0.556533 0.556573 0.556614 0.556654 0.556694
Logarithm Table for base 688 — N = 38.00–38.99
N.i 0 1 2 3 4 5 6 7 8 9
38.0 0.556735 0.556775 0.556815 0.556855 0.556896 0.556936 0.556976 0.557016 0.557056 0.557097
38.1 0.557137 0.557177 0.557217 0.557257 0.557297 0.557338 0.557378 0.557418 0.557458 0.557498
38.2 0.557538 0.557578 0.557618 0.557658 0.557698 0.557738 0.557778 0.557818 0.557858 0.557898
38.3 0.557938 0.557978 0.558018 0.558058 0.558098 0.558138 0.558178 0.558218 0.558257 0.558297
38.4 0.558337 0.558377 0.558417 0.558457 0.558497 0.558536 0.558576 0.558616 0.558656 0.558696
38.5 0.558735 0.558775 0.558815 0.558854 0.558894 0.558934 0.558974 0.559013 0.559053 0.559093
38.6 0.559132 0.559172 0.559212 0.559251 0.559291 0.559330 0.559370 0.559410 0.559449 0.559489
38.7 0.559528 0.559568 0.559607 0.559647 0.559686 0.559726 0.559765 0.559805 0.559844 0.559884
38.8 0.559923 0.559963 0.560002 0.560042 0.560081 0.560120 0.560160 0.560199 0.560238 0.560278
38.9 0.560317 0.560357 0.560396 0.560435 0.560474 0.560514 0.560553 0.560592 0.560632 0.560671
Logarithm Table for base 688 — N = 39.00–39.99
N.i 0 1 2 3 4 5 6 7 8 9
39.0 0.560710 0.560749 0.560789 0.560828 0.560867 0.560906 0.560945 0.560985 0.561024 0.561063
39.1 0.561102 0.561141 0.561180 0.561219 0.561259 0.561298 0.561337 0.561376 0.561415 0.561454
39.2 0.561493 0.561532 0.561571 0.561610 0.561649 0.561688 0.561727 0.561766 0.561805 0.561844
39.3 0.561883 0.561922 0.561961 0.562000 0.562039 0.562078 0.562116 0.562155 0.562194 0.562233
39.4 0.562272 0.562311 0.562350 0.562388 0.562427 0.562466 0.562505 0.562544 0.562582 0.562621
39.5 0.562660 0.562699 0.562737 0.562776 0.562815 0.562853 0.562892 0.562931 0.562970 0.563008
39.6 0.563047 0.563085 0.563124 0.563163 0.563201 0.563240 0.563279 0.563317 0.563356 0.563394
39.7 0.563433 0.563471 0.563510 0.563548 0.563587 0.563625 0.563664 0.563702 0.563741 0.563779
39.8 0.563818 0.563856 0.563895 0.563933 0.563972 0.564010 0.564048 0.564087 0.564125 0.564164
39.9 0.564202 0.564240 0.564279 0.564317 0.564355 0.564394 0.564432 0.564470 0.564508 0.564547
Logarithm Table for base 688 — N = 40.00–40.99
N.i 0 1 2 3 4 5 6 7 8 9
40.0 0.564585 0.564623 0.564662 0.564700 0.564738 0.564776 0.564814 0.564853 0.564891 0.564929
40.1 0.564967 0.565005 0.565044 0.565082 0.565120 0.565158 0.565196 0.565234 0.565272 0.565310
40.2 0.565348 0.565386 0.565425 0.565463 0.565501 0.565539 0.565577 0.565615 0.565653 0.565691
40.3 0.565729 0.565767 0.565805 0.565843 0.565880 0.565918 0.565956 0.565994 0.566032 0.566070
40.4 0.566108 0.566146 0.566184 0.566222 0.566259 0.566297 0.566335 0.566373 0.566411 0.566449
40.5 0.566486 0.566524 0.566562 0.566600 0.566637 0.566675 0.566713 0.566751 0.566788 0.566826
40.6 0.566864 0.566901 0.566939 0.566977 0.567014 0.567052 0.567090 0.567127 0.567165 0.567203
40.7 0.567240 0.567278 0.567315 0.567353 0.567391 0.567428 0.567466 0.567503 0.567541 0.567578
40.8 0.567616 0.567653 0.567691 0.567728 0.567766 0.567803 0.567841 0.567878 0.567916 0.567953
40.9 0.567991 0.568028 0.568065 0.568103 0.568140 0.568178 0.568215 0.568252 0.568290 0.568327
Logarithm Table for base 688 — N = 41.00–41.99
N.i 0 1 2 3 4 5 6 7 8 9
41.0 0.568364 0.568402 0.568439 0.568476 0.568514 0.568551 0.568588 0.568625 0.568663 0.568700
41.1 0.568737 0.568774 0.568812 0.568849 0.568886 0.568923 0.568960 0.568998 0.569035 0.569072
41.2 0.569109 0.569146 0.569183 0.569220 0.569258 0.569295 0.569332 0.569369 0.569406 0.569443
41.3 0.569480 0.569517 0.569554 0.569591 0.569628 0.569665 0.569702 0.569739 0.569776 0.569813
41.4 0.569850 0.569887 0.569924 0.569961 0.569998 0.570035 0.570072 0.570109 0.570146 0.570183
41.5 0.570219 0.570256 0.570293 0.570330 0.570367 0.570404 0.570441 0.570477 0.570514 0.570551
41.6 0.570588 0.570625 0.570661 0.570698 0.570735 0.570772 0.570808 0.570845 0.570882 0.570919
41.7 0.570955 0.570992 0.571029 0.571065 0.571102 0.571139 0.571175 0.571212 0.571249 0.571285
41.8 0.571322 0.571358 0.571395 0.571432 0.571468 0.571505 0.571541 0.571578 0.571614 0.571651
41.9 0.571688 0.571724 0.571761 0.571797 0.571834 0.571870 0.571907 0.571943 0.571980 0.572016
Logarithm Table for base 688 — N = 42.00–42.99
N.i 0 1 2 3 4 5 6 7 8 9
42.0 0.572052 0.572089 0.572125 0.572162 0.572198 0.572234 0.572271 0.572307 0.572344 0.572380
42.1 0.572416 0.572453 0.572489 0.572525 0.572562 0.572598 0.572634 0.572671 0.572707 0.572743
42.2 0.572779 0.572816 0.572852 0.572888 0.572924 0.572961 0.572997 0.573033 0.573069 0.573106
42.3 0.573142 0.573178 0.573214 0.573250 0.573286 0.573323 0.573359 0.573395 0.573431 0.573467
42.4 0.573503 0.573539 0.573575 0.573611 0.573647 0.573684 0.573720 0.573756 0.573792 0.573828
42.5 0.573864 0.573900 0.573936 0.573972 0.574008 0.574044 0.574080 0.574116 0.574151 0.574187
42.6 0.574223 0.574259 0.574295 0.574331 0.574367 0.574403 0.574439 0.574475 0.574511 0.574546
42.7 0.574582 0.574618 0.574654 0.574690 0.574726 0.574761 0.574797 0.574833 0.574869 0.574904
42.8 0.574940 0.574976 0.575012 0.575047 0.575083 0.575119 0.575155 0.575190 0.575226 0.575262
42.9 0.575297 0.575333 0.575369 0.575404 0.575440 0.575476 0.575511 0.575547 0.575583 0.575618
Logarithm Table for base 688 — N = 43.00–43.99
N.i 0 1 2 3 4 5 6 7 8 9
43.0 0.575654 0.575689 0.575725 0.575761 0.575796 0.575832 0.575867 0.575903 0.575938 0.575974
43.1 0.576009 0.576045 0.576080 0.576116 0.576151 0.576187 0.576222 0.576258 0.576293 0.576329
43.2 0.576364 0.576399 0.576435 0.576470 0.576506 0.576541 0.576576 0.576612 0.576647 0.576682
43.3 0.576718 0.576753 0.576789 0.576824 0.576859 0.576894 0.576930 0.576965 0.577000 0.577036
43.4 0.577071 0.577106 0.577141 0.577177 0.577212 0.577247 0.577282 0.577318 0.577353 0.577388
43.5 0.577423 0.577458 0.577494 0.577529 0.577564 0.577599 0.577634 0.577669 0.577704 0.577739
43.6 0.577775 0.577810 0.577845 0.577880 0.577915 0.577950 0.577985 0.578020 0.578055 0.578090
43.7 0.578125 0.578160 0.578195 0.578230 0.578265 0.578300 0.578335 0.578370 0.578405 0.578440
43.8 0.578475 0.578510 0.578545 0.578580 0.578615 0.578650 0.578685 0.578719 0.578754 0.578789
43.9 0.578824 0.578859 0.578894 0.578929 0.578963 0.578998 0.579033 0.579068 0.579103 0.579138
Logarithm Table for base 688 — N = 44.00–44.99
N.i 0 1 2 3 4 5 6 7 8 9
44.0 0.579172 0.579207 0.579242 0.579277 0.579311 0.579346 0.579381 0.579416 0.579450 0.579485
44.1 0.579520 0.579554 0.579589 0.579624 0.579659 0.579693 0.579728 0.579763 0.579797 0.579832
44.2 0.579866 0.579901 0.579936 0.579970 0.580005 0.580039 0.580074 0.580109 0.580143 0.580178
44.3 0.580212 0.580247 0.580281 0.580316 0.580350 0.580385 0.580419 0.580454 0.580488 0.580523
44.4 0.580557 0.580592 0.580626 0.580661 0.580695 0.580730 0.580764 0.580799 0.580833 0.580867
44.5 0.580902 0.580936 0.580970 0.581005 0.581039 0.581074 0.581108 0.581142 0.581177 0.581211
44.6 0.581245 0.581280 0.581314 0.581348 0.581382 0.581417 0.581451 0.581485 0.581520 0.581554
44.7 0.581588 0.581622 0.581657 0.581691 0.581725 0.581759 0.581793 0.581828 0.581862 0.581896
44.8 0.581930 0.581964 0.581998 0.582033 0.582067 0.582101 0.582135 0.582169 0.582203 0.582237
44.9 0.582271 0.582305 0.582339 0.582374 0.582408 0.582442 0.582476 0.582510 0.582544 0.582578
Logarithm Table for base 688 — N = 45.00–45.99
N.i 0 1 2 3 4 5 6 7 8 9
45.0 0.582612 0.582646 0.582680 0.582714 0.582748 0.582782 0.582816 0.582850 0.582884 0.582918
45.1 0.582952 0.582985 0.583019 0.583053 0.583087 0.583121 0.583155 0.583189 0.583223 0.583257
45.2 0.583291 0.583324 0.583358 0.583392 0.583426 0.583460 0.583494 0.583527 0.583561 0.583595
45.3 0.583629 0.583663 0.583696 0.583730 0.583764 0.583798 0.583831 0.583865 0.583899 0.583933
45.4 0.583966 0.584000 0.584034 0.584067 0.584101 0.584135 0.584168 0.584202 0.584236 0.584269
45.5 0.584303 0.584337 0.584370 0.584404 0.584437 0.584471 0.584505 0.584538 0.584572 0.584605
45.6 0.584639 0.584673 0.584706 0.584740 0.584773 0.584807 0.584840 0.584874 0.584907 0.584941
45.7 0.584974 0.585008 0.585041 0.585075 0.585108 0.585142 0.585175 0.585209 0.585242 0.585275
45.8 0.585309 0.585342 0.585376 0.585409 0.585442 0.585476 0.585509 0.585543 0.585576 0.585609
45.9 0.585643 0.585676 0.585709 0.585743 0.585776 0.585809 0.585843 0.585876 0.585909 0.585942
Logarithm Table for base 688 — N = 46.00–46.99
N.i 0 1 2 3 4 5 6 7 8 9
46.0 0.585976 0.586009 0.586042 0.586075 0.586109 0.586142 0.586175 0.586208 0.586242 0.586275
46.1 0.586308 0.586341 0.586374 0.586408 0.586441 0.586474 0.586507 0.586540 0.586573 0.586607
46.2 0.586640 0.586673 0.586706 0.586739 0.586772 0.586805 0.586838 0.586871 0.586904 0.586938
46.3 0.586971 0.587004 0.587037 0.587070 0.587103 0.587136 0.587169 0.587202 0.587235 0.587268
46.4 0.587301 0.587334 0.587367 0.587400 0.587433 0.587466 0.587499 0.587532 0.587564 0.587597
46.5 0.587630 0.587663 0.587696 0.587729 0.587762 0.587795 0.587828 0.587861 0.587893 0.587926
46.6 0.587959 0.587992 0.588025 0.588058 0.588090 0.588123 0.588156 0.588189 0.588222 0.588254
46.7 0.588287 0.588320 0.588353 0.588385 0.588418 0.588451 0.588484 0.588516 0.588549 0.588582
46.8 0.588615 0.588647 0.588680 0.588713 0.588745 0.588778 0.588811 0.588843 0.588876 0.588909
46.9 0.588941 0.588974 0.589006 0.589039 0.589072 0.589104 0.589137 0.589169 0.589202 0.589235
Logarithm Table for base 688 — N = 47.00–47.99
N.i 0 1 2 3 4 5 6 7 8 9
47.0 0.589267 0.589300 0.589332 0.589365 0.589397 0.589430 0.589462 0.589495 0.589528 0.589560
47.1 0.589593 0.589625 0.589657 0.589690 0.589722 0.589755 0.589787 0.589820 0.589852 0.589885
47.2 0.589917 0.589950 0.589982 0.590014 0.590047 0.590079 0.590112 0.590144 0.590176 0.590209
47.3 0.590241 0.590273 0.590306 0.590338 0.590370 0.590403 0.590435 0.590467 0.590500 0.590532
47.4 0.590564 0.590597 0.590629 0.590661 0.590693 0.590726 0.590758 0.590790 0.590822 0.590855
47.5 0.590887 0.590919 0.590951 0.590983 0.591016 0.591048 0.591080 0.591112 0.591144 0.591177
47.6 0.591209 0.591241 0.591273 0.591305 0.591337 0.591369 0.591401 0.591434 0.591466 0.591498
47.7 0.591530 0.591562 0.591594 0.591626 0.591658 0.591690 0.591722 0.591754 0.591786 0.591818
47.8 0.591850 0.591882 0.591914 0.591946 0.591978 0.592010 0.592042 0.592074 0.592106 0.592138
47.9 0.592170 0.592202 0.592234 0.592266 0.592298 0.592330 0.592362 0.592394 0.592426 0.592458
Logarithm Table for base 688 — N = 48.00–48.99
N.i 0 1 2 3 4 5 6 7 8 9
48.0 0.592489 0.592521 0.592553 0.592585 0.592617 0.592649 0.592681 0.592712 0.592744 0.592776
48.1 0.592808 0.592840 0.592872 0.592903 0.592935 0.592967 0.592999 0.593031 0.593062 0.593094
48.2 0.593126 0.593158 0.593189 0.593221 0.593253 0.593285 0.593316 0.593348 0.593380 0.593411
48.3 0.593443 0.593475 0.593506 0.593538 0.593570 0.593601 0.593633 0.593665 0.593696 0.593728
48.4 0.593760 0.593791 0.593823 0.593854 0.593886 0.593918 0.593949 0.593981 0.594012 0.594044
48.5 0.594075 0.594107 0.594139 0.594170 0.594202 0.594233 0.594265 0.594296 0.594328 0.594359
48.6 0.594391 0.594422 0.594454 0.594485 0.594517 0.594548 0.594580 0.594611 0.594642 0.594674
48.7 0.594705 0.594737 0.594768 0.594800 0.594831 0.594862 0.594894 0.594925 0.594957 0.594988
48.8 0.595019 0.595051 0.595082 0.595113 0.595145 0.595176 0.595207 0.595239 0.595270 0.595301
48.9 0.595333 0.595364 0.595395 0.595426 0.595458 0.595489 0.595520 0.595552 0.595583 0.595614
Logarithm Table for base 688 — N = 49.00–49.99
N.i 0 1 2 3 4 5 6 7 8 9
49.0 0.595645 0.595676 0.595708 0.595739 0.595770 0.595801 0.595833 0.595864 0.595895 0.595926
49.1 0.595957 0.595988 0.596020 0.596051 0.596082 0.596113 0.596144 0.596175 0.596206 0.596238
49.2 0.596269 0.596300 0.596331 0.596362 0.596393 0.596424 0.596455 0.596486 0.596517 0.596548
49.3 0.596579 0.596610 0.596642 0.596673 0.596704 0.596735 0.596766 0.596797 0.596828 0.596859
49.4 0.596890 0.596921 0.596952 0.596982 0.597013 0.597044 0.597075 0.597106 0.597137 0.597168
49.5 0.597199 0.597230 0.597261 0.597292 0.597323 0.597354 0.597384 0.597415 0.597446 0.597477
49.6 0.597508 0.597539 0.597570 0.597601 0.597631 0.597662 0.597693 0.597724 0.597755 0.597785
49.7 0.597816 0.597847 0.597878 0.597909 0.597939 0.597970 0.598001 0.598032 0.598062 0.598093
49.8 0.598124 0.598155 0.598185 0.598216 0.598247 0.598277 0.598308 0.598339 0.598370 0.598400
49.9 0.598431 0.598462 0.598492 0.598523 0.598554 0.598584 0.598615 0.598645 0.598676 0.598707
Logarithm Table for base 688 — N = 50.00–50.99
N.i 0 1 2 3 4 5 6 7 8 9
50.0 0.598737 0.598768 0.598798 0.598829 0.598860 0.598890 0.598921 0.598951 0.598982 0.599013
50.1 0.599043 0.599074 0.599104 0.599135 0.599165 0.599196 0.599226 0.599257 0.599287 0.599318
50.2 0.599348 0.599379 0.599409 0.599440 0.599470 0.599501 0.599531 0.599562 0.599592 0.599622
50.3 0.599653 0.599683 0.599714 0.599744 0.599775 0.599805 0.599835 0.599866 0.599896 0.599926
50.4 0.599957 0.599987 0.600018 0.600048 0.600078 0.600109 0.600139 0.600169 0.600200 0.600230
50.5 0.600260 0.600290 0.600321 0.600351 0.600381 0.600412 0.600442 0.600472 0.600502 0.600533
50.6 0.600563 0.600593 0.600623 0.600654 0.600684 0.600714 0.600744 0.600775 0.600805 0.600835
50.7 0.600865 0.600895 0.600925 0.600956 0.600986 0.601016 0.601046 0.601076 0.601106 0.601137
50.8 0.601167 0.601197 0.601227 0.601257 0.601287 0.601317 0.601347 0.601377 0.601408 0.601438
50.9 0.601468 0.601498 0.601528 0.601558 0.601588 0.601618 0.601648 0.601678 0.601708 0.601738
Logarithm Table for base 688 — N = 51.00–51.99
N.i 0 1 2 3 4 5 6 7 8 9
51.0 0.601768 0.601798 0.601828 0.601858 0.601888 0.601918 0.601948 0.601978 0.602008 0.602038
51.1 0.602068 0.602098 0.602128 0.602158 0.602188 0.602218 0.602247 0.602277 0.602307 0.602337
51.2 0.602367 0.602397 0.602427 0.602457 0.602487 0.602517 0.602546 0.602576 0.602606 0.602636
51.3 0.602666 0.602696 0.602725 0.602755 0.602785 0.602815 0.602845 0.602874 0.602904 0.602934
51.4 0.602964 0.602994 0.603023 0.603053 0.603083 0.603113 0.603142 0.603172 0.603202 0.603232
51.5 0.603261 0.603291 0.603321 0.603350 0.603380 0.603410 0.603439 0.603469 0.603499 0.603529
51.6 0.603558 0.603588 0.603617 0.603647 0.603677 0.603706 0.603736 0.603766 0.603795 0.603825
51.7 0.603854 0.603884 0.603914 0.603943 0.603973 0.604002 0.604032 0.604062 0.604091 0.604121
51.8 0.604150 0.604180 0.604209 0.604239 0.604268 0.604298 0.604327 0.604357 0.604386 0.604416
51.9 0.604445 0.604475 0.604504 0.604534 0.604563 0.604593 0.604622 0.604652 0.604681 0.604711
Logarithm Table for base 688 — N = 52.00–52.99
N.i 0 1 2 3 4 5 6 7 8 9
52.0 0.604740 0.604769 0.604799 0.604828 0.604858 0.604887 0.604917 0.604946 0.604975 0.605005
52.1 0.605034 0.605063 0.605093 0.605122 0.605152 0.605181 0.605210 0.605240 0.605269 0.605298
52.2 0.605328 0.605357 0.605386 0.605416 0.605445 0.605474 0.605503 0.605533 0.605562 0.605591
52.3 0.605620 0.605650 0.605679 0.605708 0.605737 0.605767 0.605796 0.605825 0.605854 0.605884
52.4 0.605913 0.605942 0.605971 0.606000 0.606030 0.606059 0.606088 0.606117 0.606146 0.606175
52.5 0.606205 0.606234 0.606263 0.606292 0.606321 0.606350 0.606379 0.606409 0.606438 0.606467
52.6 0.606496 0.606525 0.606554 0.606583 0.606612 0.606641 0.606670 0.606699 0.606728 0.606758
52.7 0.606787 0.606816 0.606845 0.606874 0.606903 0.606932 0.606961 0.606990 0.607019 0.607048
52.8 0.607077 0.607106 0.607135 0.607164 0.607193 0.607222 0.607251 0.607280 0.607308 0.607337
52.9 0.607366 0.607395 0.607424 0.607453 0.607482 0.607511 0.607540 0.607569 0.607598 0.607626
Logarithm Table for base 688 — N = 53.00–53.99
N.i 0 1 2 3 4 5 6 7 8 9
53.0 0.607655 0.607684 0.607713 0.607742 0.607771 0.607800 0.607829 0.607857 0.607886 0.607915
53.1 0.607944 0.607973 0.608002 0.608030 0.608059 0.608088 0.608117 0.608146 0.608174 0.608203
53.2 0.608232 0.608261 0.608289 0.608318 0.608347 0.608376 0.608404 0.608433 0.608462 0.608491
53.3 0.608519 0.608548 0.608577 0.608605 0.608634 0.608663 0.608691 0.608720 0.608749 0.608777
53.4 0.608806 0.608835 0.608863 0.608892 0.608921 0.608949 0.608978 0.609007 0.609035 0.609064
53.5 0.609092 0.609121 0.609150 0.609178 0.609207 0.609235 0.609264 0.609293 0.609321 0.609350
53.6 0.609378 0.609407 0.609435 0.609464 0.609492 0.609521 0.609550 0.609578 0.609607 0.609635
53.7 0.609664 0.609692 0.609721 0.609749 0.609778 0.609806 0.609834 0.609863 0.609891 0.609920
53.8 0.609948 0.609977 0.610005 0.610034 0.610062 0.610090 0.610119 0.610147 0.610176 0.610204
53.9 0.610233 0.610261 0.610289 0.610318 0.610346 0.610374 0.610403 0.610431 0.610460 0.610488
Logarithm Table for base 688 — N = 54.00–54.99
N.i 0 1 2 3 4 5 6 7 8 9
54.0 0.610516 0.610545 0.610573 0.610601 0.610630 0.610658 0.610686 0.610714 0.610743 0.610771
54.1 0.610799 0.610828 0.610856 0.610884 0.610913 0.610941 0.610969 0.610997 0.611026 0.611054
54.2 0.611082 0.611110 0.611138 0.611167 0.611195 0.611223 0.611251 0.611280 0.611308 0.611336
54.3 0.611364 0.611392 0.611421 0.611449 0.611477 0.611505 0.611533 0.611561 0.611589 0.611618
54.4 0.611646 0.611674 0.611702 0.611730 0.611758 0.611786 0.611814 0.611843 0.611871 0.611899
54.5 0.611927 0.611955 0.611983 0.612011 0.612039 0.612067 0.612095 0.612123 0.612151 0.612179
54.6 0.612207 0.612235 0.612263 0.612291 0.612319 0.612347 0.612375 0.612403 0.612431 0.612459
54.7 0.612487 0.612515 0.612543 0.612571 0.612599 0.612627 0.612655 0.612683 0.612711 0.612739
54.8 0.612767 0.612795 0.612823 0.612851 0.612879 0.612907 0.612934 0.612962 0.612990 0.613018
54.9 0.613046 0.613074 0.613102 0.613130 0.613158 0.613185 0.613213 0.613241 0.613269 0.613297
Logarithm Table for base 688 — N = 55.00–55.99
N.i 0 1 2 3 4 5 6 7 8 9
55.0 0.613325 0.613352 0.613380 0.613408 0.613436 0.613464 0.613491 0.613519 0.613547 0.613575
55.1 0.613603 0.613630 0.613658 0.613686 0.613714 0.613741 0.613769 0.613797 0.613825 0.613852
55.2 0.613880 0.613908 0.613936 0.613963 0.613991 0.614019 0.614046 0.614074 0.614102 0.614129
55.3 0.614157 0.614185 0.614212 0.614240 0.614268 0.614295 0.614323 0.614351 0.614378 0.614406
55.4 0.614434 0.614461 0.614489 0.614516 0.614544 0.614572 0.614599 0.614627 0.614654 0.614682
55.5 0.614710 0.614737 0.614765 0.614792 0.614820 0.614847 0.614875 0.614903 0.614930 0.614958
55.6 0.614985 0.615013 0.615040 0.615068 0.615095 0.615123 0.615150 0.615178 0.615205 0.615233
55.7 0.615260 0.615288 0.615315 0.615343 0.615370 0.615398 0.615425 0.615452 0.615480 0.615507
55.8 0.615535 0.615562 0.615590 0.615617 0.615644 0.615672 0.615699 0.615727 0.615754 0.615781
55.9 0.615809 0.615836 0.615864 0.615891 0.615918 0.615946 0.615973 0.616000 0.616028 0.616055
Logarithm Table for base 688 — N = 56.00–56.99
N.i 0 1 2 3 4 5 6 7 8 9
56.0 0.616082 0.616110 0.616137 0.616164 0.616192 0.616219 0.616246 0.616273 0.616301 0.616328
56.1 0.616355 0.616383 0.616410 0.616437 0.616464 0.616492 0.616519 0.616546 0.616573 0.616601
56.2 0.616628 0.616655 0.616682 0.616710 0.616737 0.616764 0.616791 0.616818 0.616846 0.616873
56.3 0.616900 0.616927 0.616954 0.616982 0.617009 0.617036 0.617063 0.617090 0.617117 0.617144
56.4 0.617172 0.617199 0.617226 0.617253 0.617280 0.617307 0.617334 0.617361 0.617389 0.617416
56.5 0.617443 0.617470 0.617497 0.617524 0.617551 0.617578 0.617605 0.617632 0.617659 0.617686
56.6 0.617713 0.617740 0.617767 0.617795 0.617822 0.617849 0.617876 0.617903 0.617930 0.617957
56.7 0.617984 0.618011 0.618038 0.618065 0.618092 0.618118 0.618145 0.618172 0.618199 0.618226
56.8 0.618253 0.618280 0.618307 0.618334 0.618361 0.618388 0.618415 0.618442 0.618469 0.618496
56.9 0.618522 0.618549 0.618576 0.618603 0.618630 0.618657 0.618684 0.618711 0.618738 0.618764
Logarithm Table for base 688 — N = 57.00–57.99
N.i 0 1 2 3 4 5 6 7 8 9
57.0 0.618791 0.618818 0.618845 0.618872 0.618899 0.618925 0.618952 0.618979 0.619006 0.619033
57.1 0.619060 0.619086 0.619113 0.619140 0.619167 0.619193 0.619220 0.619247 0.619274 0.619301
57.2 0.619327 0.619354 0.619381 0.619408 0.619434 0.619461 0.619488 0.619515 0.619541 0.619568
57.3 0.619595 0.619621 0.619648 0.619675 0.619701 0.619728 0.619755 0.619782 0.619808 0.619835
57.4 0.619862 0.619888 0.619915 0.619941 0.619968 0.619995 0.620021 0.620048 0.620075 0.620101
57.5 0.620128 0.620155 0.620181 0.620208 0.620234 0.620261 0.620288 0.620314 0.620341 0.620367
57.6 0.620394 0.620420 0.620447 0.620474 0.620500 0.620527 0.620553 0.620580 0.620606 0.620633
57.7 0.620659 0.620686 0.620712 0.620739 0.620765 0.620792 0.620818 0.620845 0.620871 0.620898
57.8 0.620924 0.620951 0.620977 0.621004 0.621030 0.621057 0.621083 0.621110 0.621136 0.621163
57.9 0.621189 0.621215 0.621242 0.621268 0.621295 0.621321 0.621347 0.621374 0.621400 0.621427
Logarithm Table for base 688 — N = 58.00–58.99
N.i 0 1 2 3 4 5 6 7 8 9
58.0 0.621453 0.621479 0.621506 0.621532 0.621559 0.621585 0.621611 0.621638 0.621664 0.621690
58.1 0.621717 0.621743 0.621769 0.621796 0.621822 0.621848 0.621875 0.621901 0.621927 0.621954
58.2 0.621980 0.622006 0.622032 0.622059 0.622085 0.622111 0.622138 0.622164 0.622190 0.622216
58.3 0.622243 0.622269 0.622295 0.622321 0.622348 0.622374 0.622400 0.622426 0.622453 0.622479
58.4 0.622505 0.622531 0.622557 0.622584 0.622610 0.622636 0.622662 0.622688 0.622714 0.622741
58.5 0.622767 0.622793 0.622819 0.622845 0.622871 0.622898 0.622924 0.622950 0.622976 0.623002
58.6 0.623028 0.623054 0.623080 0.623107 0.623133 0.623159 0.623185 0.623211 0.623237 0.623263
58.7 0.623289 0.623315 0.623341 0.623367 0.623393 0.623419 0.623446 0.623472 0.623498 0.623524
58.8 0.623550 0.623576 0.623602 0.623628 0.623654 0.623680 0.623706 0.623732 0.623758 0.623784
58.9 0.623810 0.623836 0.623862 0.623888 0.623914 0.623940 0.623966 0.623992 0.624017 0.624043
Logarithm Table for base 688 — N = 59.00–59.99
N.i 0 1 2 3 4 5 6 7 8 9
59.0 0.624069 0.624095 0.624121 0.624147 0.624173 0.624199 0.624225 0.624251 0.624277 0.624303
59.1 0.624329 0.624354 0.624380 0.624406 0.624432 0.624458 0.624484 0.624510 0.624536 0.624561
59.2 0.624587 0.624613 0.624639 0.624665 0.624691 0.624717 0.624742 0.624768 0.624794 0.624820
59.3 0.624846 0.624871 0.624897 0.624923 0.624949 0.624975 0.625000 0.625026 0.625052 0.625078
59.4 0.625103 0.625129 0.625155 0.625181 0.625207 0.625232 0.625258 0.625284 0.625309 0.625335
59.5 0.625361 0.625387 0.625412 0.625438 0.625464 0.625489 0.625515 0.625541 0.625567 0.625592
59.6 0.625618 0.625644 0.625669 0.625695 0.625721 0.625746 0.625772 0.625798 0.625823 0.625849
59.7 0.625875 0.625900 0.625926 0.625951 0.625977 0.626003 0.626028 0.626054 0.626079 0.626105
59.8 0.626131 0.626156 0.626182 0.626207 0.626233 0.626259 0.626284 0.626310 0.626335 0.626361
59.9 0.626386 0.626412 0.626437 0.626463 0.626489 0.626514 0.626540 0.626565 0.626591 0.626616
Logarithm Table for base 688 — N = 60.00–60.99
N.i 0 1 2 3 4 5 6 7 8 9
60.0 0.626642 0.626667 0.626693 0.626718 0.626744 0.626769 0.626795 0.626820 0.626846 0.626871
60.1 0.626897 0.626922 0.626947 0.626973 0.626998 0.627024 0.627049 0.627075 0.627100 0.627126
60.2 0.627151 0.627176 0.627202 0.627227 0.627253 0.627278 0.627303 0.627329 0.627354 0.627380
60.3 0.627405 0.627430 0.627456 0.627481 0.627507 0.627532 0.627557 0.627583 0.627608 0.627633
60.4 0.627659 0.627684 0.627709 0.627735 0.627760 0.627785 0.627811 0.627836 0.627861 0.627887
60.5 0.627912 0.627937 0.627962 0.627988 0.628013 0.628038 0.628064 0.628089 0.628114 0.628139
60.6 0.628165 0.628190 0.628215 0.628240 0.628266 0.628291 0.628316 0.628341 0.628367 0.628392
60.7 0.628417 0.628442 0.628467 0.628493 0.628518 0.628543 0.628568 0.628593 0.628619 0.628644
60.8 0.628669 0.628694 0.628719 0.628744 0.628770 0.628795 0.628820 0.628845 0.628870 0.628895
60.9 0.628920 0.628946 0.628971 0.628996 0.629021 0.629046 0.629071 0.629096 0.629121 0.629146
Logarithm Table for base 688 — N = 61.00–61.99
N.i 0 1 2 3 4 5 6 7 8 9
61.0 0.629172 0.629197 0.629222 0.629247 0.629272 0.629297 0.629322 0.629347 0.629372 0.629397
61.1 0.629422 0.629447 0.629472 0.629497 0.629522 0.629547 0.629572 0.629597 0.629622 0.629647
61.2 0.629673 0.629698 0.629723 0.629748 0.629773 0.629797 0.629822 0.629847 0.629872 0.629897
61.3 0.629922 0.629947 0.629972 0.629997 0.630022 0.630047 0.630072 0.630097 0.630122 0.630147
61.4 0.630172 0.630197 0.630222 0.630247 0.630272 0.630296 0.630321 0.630346 0.630371 0.630396
61.5 0.630421 0.630446 0.630471 0.630496 0.630520 0.630545 0.630570 0.630595 0.630620 0.630645
61.6 0.630670 0.630694 0.630719 0.630744 0.630769 0.630794 0.630819 0.630843 0.630868 0.630893
61.7 0.630918 0.630943 0.630967 0.630992 0.631017 0.631042 0.631067 0.631091 0.631116 0.631141
61.8 0.631166 0.631190 0.631215 0.631240 0.631265 0.631289 0.631314 0.631339 0.631364 0.631388
61.9 0.631413 0.631438 0.631463 0.631487 0.631512 0.631537 0.631561 0.631586 0.631611 0.631636
Logarithm Table for base 688 — N = 62.00–62.99
N.i 0 1 2 3 4 5 6 7 8 9
62.0 0.631660 0.631685 0.631710 0.631734 0.631759 0.631784 0.631808 0.631833 0.631858 0.631882
62.1 0.631907 0.631932 0.631956 0.631981 0.632005 0.632030 0.632055 0.632079 0.632104 0.632129
62.2 0.632153 0.632178 0.632202 0.632227 0.632252 0.632276 0.632301 0.632325 0.632350 0.632374
62.3 0.632399 0.632424 0.632448 0.632473 0.632497 0.632522 0.632546 0.632571 0.632595 0.632620
62.4 0.632644 0.632669 0.632694 0.632718 0.632743 0.632767 0.632792 0.632816 0.632841 0.632865
62.5 0.632890 0.632914 0.632938 0.632963 0.632987 0.633012 0.633036 0.633061 0.633085 0.633110
62.6 0.633134 0.633159 0.633183 0.633208 0.633232 0.633256 0.633281 0.633305 0.633330 0.633354
62.7 0.633379 0.633403 0.633427 0.633452 0.633476 0.633501 0.633525 0.633549 0.633574 0.633598
62.8 0.633622 0.633647 0.633671 0.633696 0.633720 0.633744 0.633769 0.633793 0.633817 0.633842
62.9 0.633866 0.633890 0.633915 0.633939 0.633963 0.633988 0.634012 0.634036 0.634060 0.634085
Logarithm Table for base 688 — N = 63.00–63.99
N.i 0 1 2 3 4 5 6 7 8 9
63.0 0.634109 0.634133 0.634158 0.634182 0.634206 0.634230 0.634255 0.634279 0.634303 0.634328
63.1 0.634352 0.634376 0.634400 0.634425 0.634449 0.634473 0.634497 0.634522 0.634546 0.634570
63.2 0.634594 0.634618 0.634643 0.634667 0.634691 0.634715 0.634739 0.634764 0.634788 0.634812
63.3 0.634836 0.634860 0.634884 0.634909 0.634933 0.634957 0.634981 0.635005 0.635029 0.635054
63.4 0.635078 0.635102 0.635126 0.635150 0.635174 0.635198 0.635223 0.635247 0.635271 0.635295
63.5 0.635319 0.635343 0.635367 0.635391 0.635415 0.635439 0.635464 0.635488 0.635512 0.635536
63.6 0.635560 0.635584 0.635608 0.635632 0.635656 0.635680 0.635704 0.635728 0.635752 0.635776
63.7 0.635800 0.635824 0.635848 0.635872 0.635896 0.635920 0.635944 0.635968 0.635992 0.636016
63.8 0.636040 0.636064 0.636088 0.636112 0.636136 0.636160 0.636184 0.636208 0.636232 0.636256
63.9 0.636280 0.636304 0.636328 0.636352 0.636376 0.636400 0.636424 0.636448 0.636472 0.636495
Logarithm Table for base 688 — N = 64.00–64.99
N.i 0 1 2 3 4 5 6 7 8 9
64.0 0.636519 0.636543 0.636567 0.636591 0.636615 0.636639 0.636663 0.636687 0.636711 0.636734
64.1 0.636758 0.636782 0.636806 0.636830 0.636854 0.636878 0.636902 0.636925 0.636949 0.636973
64.2 0.636997 0.637021 0.637045 0.637068 0.637092 0.637116 0.637140 0.637164 0.637187 0.637211
64.3 0.637235 0.637259 0.637283 0.637306 0.637330 0.637354 0.637378 0.637402 0.637425 0.637449
64.4 0.637473 0.637497 0.637520 0.637544 0.637568 0.637592 0.637615 0.637639 0.637663 0.637687
64.5 0.637710 0.637734 0.637758 0.637782 0.637805 0.637829 0.637853 0.637876 0.637900 0.637924
64.6 0.637948 0.637971 0.637995 0.638019 0.638042 0.638066 0.638090 0.638113 0.638137 0.638161
64.7 0.638184 0.638208 0.638232 0.638255 0.638279 0.638302 0.638326 0.638350 0.638373 0.638397
64.8 0.638421 0.638444 0.638468 0.638491 0.638515 0.638539 0.638562 0.638586 0.638609 0.638633
64.9 0.638657 0.638680 0.638704 0.638727 0.638751 0.638775 0.638798 0.638822 0.638845 0.638869
Logarithm Table for base 688 — N = 65.00–65.99
N.i 0 1 2 3 4 5 6 7 8 9
65.0 0.638892 0.638916 0.638939 0.638963 0.638986 0.639010 0.639033 0.639057 0.639081 0.639104
65.1 0.639128 0.639151 0.639175 0.639198 0.639222 0.639245 0.639269 0.639292 0.639316 0.639339
65.2 0.639362 0.639386 0.639409 0.639433 0.639456 0.639480 0.639503 0.639527 0.639550 0.639574
65.3 0.639597 0.639620 0.639644 0.639667 0.639691 0.639714 0.639738 0.639761 0.639784 0.639808
65.4 0.639831 0.639855 0.639878 0.639901 0.639925 0.639948 0.639972 0.639995 0.640018 0.640042
65.5 0.640065 0.640088 0.640112 0.640135 0.640159 0.640182 0.640205 0.640229 0.640252 0.640275
65.6 0.640299 0.640322 0.640345 0.640369 0.640392 0.640415 0.640438 0.640462 0.640485 0.640508
65.7 0.640532 0.640555 0.640578 0.640602 0.640625 0.640648 0.640671 0.640695 0.640718 0.640741
65.8 0.640764 0.640788 0.640811 0.640834 0.640857 0.640881 0.640904 0.640927 0.640950 0.640974
65.9 0.640997 0.641020 0.641043 0.641067 0.641090 0.641113 0.641136 0.641159 0.641183 0.641206
Logarithm Table for base 688 — N = 66.00–66.99
N.i 0 1 2 3 4 5 6 7 8 9
66.0 0.641229 0.641252 0.641275 0.641299 0.641322 0.641345 0.641368 0.641391 0.641414 0.641438
66.1 0.641461 0.641484 0.641507 0.641530 0.641553 0.641576 0.641600 0.641623 0.641646 0.641669
66.2 0.641692 0.641715 0.641738 0.641761 0.641785 0.641808 0.641831 0.641854 0.641877 0.641900
66.3 0.641923 0.641946 0.641969 0.641992 0.642015 0.642038 0.642062 0.642085 0.642108 0.642131
66.4 0.642154 0.642177 0.642200 0.642223 0.642246 0.642269 0.642292 0.642315 0.642338 0.642361
66.5 0.642384 0.642407 0.642430 0.642453 0.642476 0.642499 0.642522 0.642545 0.642568 0.642591
66.6 0.642614 0.642637 0.642660 0.642683 0.642706 0.642729 0.642752 0.642775 0.642798 0.642821
66.7 0.642844 0.642867 0.642890 0.642913 0.642935 0.642958 0.642981 0.643004 0.643027 0.643050
66.8 0.643073 0.643096 0.643119 0.643142 0.643165 0.643187 0.643210 0.643233 0.643256 0.643279
66.9 0.643302 0.643325 0.643348 0.643371 0.643393 0.643416 0.643439 0.643462 0.643485 0.643508
Logarithm Table for base 688 — N = 67.00–67.99
N.i 0 1 2 3 4 5 6 7 8 9
67.0 0.643531 0.643553 0.643576 0.643599 0.643622 0.643645 0.643668 0.643690 0.643713 0.643736
67.1 0.643759 0.643782 0.643804 0.643827 0.643850 0.643873 0.643896 0.643918 0.643941 0.643964
67.2 0.643987 0.644009 0.644032 0.644055 0.644078 0.644101 0.644123 0.644146 0.644169 0.644192
67.3 0.644214 0.644237 0.644260 0.644283 0.644305 0.644328 0.644351 0.644373 0.644396 0.644419
67.4 0.644442 0.644464 0.644487 0.644510 0.644532 0.644555 0.644578 0.644600 0.644623 0.644646
67.5 0.644668 0.644691 0.644714 0.644736 0.644759 0.644782 0.644804 0.644827 0.644850 0.644872
67.6 0.644895 0.644918 0.644940 0.644963 0.644986 0.645008 0.645031 0.645053 0.645076 0.645099
67.7 0.645121 0.645144 0.645166 0.645189 0.645212 0.645234 0.645257 0.645279 0.645302 0.645325
67.8 0.645347 0.645370 0.645392 0.645415 0.645437 0.645460 0.645483 0.645505 0.645528 0.645550
67.9 0.645573 0.645595 0.645618 0.645640 0.645663 0.645685 0.645708 0.645730 0.645753 0.645775
Logarithm Table for base 688 — N = 68.00–68.99
N.i 0 1 2 3 4 5 6 7 8 9
68.0 0.645798 0.645820 0.645843 0.645865 0.645888 0.645910 0.645933 0.645955 0.645978 0.646000
68.1 0.646023 0.646045 0.646068 0.646090 0.646113 0.646135 0.646158 0.646180 0.646203 0.646225
68.2 0.646247 0.646270 0.646292 0.646315 0.646337 0.646360 0.646382 0.646404 0.646427 0.646449
68.3 0.646472 0.646494 0.646517 0.646539 0.646561 0.646584 0.646606 0.646629 0.646651 0.646673
68.4 0.646696 0.646718 0.646740 0.646763 0.646785 0.646807 0.646830 0.646852 0.646875 0.646897
68.5 0.646919 0.646942 0.646964 0.646986 0.647009 0.647031 0.647053 0.647076 0.647098 0.647120
68.6 0.647143 0.647165 0.647187 0.647209 0.647232 0.647254 0.647276 0.647299 0.647321 0.647343
68.7 0.647365 0.647388 0.647410 0.647432 0.647455 0.647477 0.647499 0.647521 0.647544 0.647566
68.8 0.647588 0.647610 0.647633 0.647655 0.647677 0.647699 0.647721 0.647744 0.647766 0.647788
68.9 0.647810 0.647833 0.647855 0.647877 0.647899 0.647921 0.647944 0.647966 0.647988 0.648010
Logarithm Table for base 688 — N = 69.00–69.99
N.i 0 1 2 3 4 5 6 7 8 9
69.0 0.648032 0.648055 0.648077 0.648099 0.648121 0.648143 0.648165 0.648188 0.648210 0.648232
69.1 0.648254 0.648276 0.648298 0.648320 0.648343 0.648365 0.648387 0.648409 0.648431 0.648453
69.2 0.648475 0.648497 0.648520 0.648542 0.648564 0.648586 0.648608 0.648630 0.648652 0.648674
69.3 0.648696 0.648718 0.648741 0.648763 0.648785 0.648807 0.648829 0.648851 0.648873 0.648895
69.4 0.648917 0.648939 0.648961 0.648983 0.649005 0.649027 0.649049 0.649071 0.649093 0.649115
69.5 0.649137 0.649159 0.649181 0.649203 0.649225 0.649247 0.649269 0.649291 0.649313 0.649335
69.6 0.649357 0.649379 0.649401 0.649423 0.649445 0.649467 0.649489 0.649511 0.649533 0.649555
69.7 0.649577 0.649599 0.649621 0.649643 0.649665 0.649687 0.649709 0.649731 0.649753 0.649775
69.8 0.649797 0.649819 0.649840 0.649862 0.649884 0.649906 0.649928 0.649950 0.649972 0.649994
69.9 0.650016 0.650038 0.650060 0.650081 0.650103 0.650125 0.650147 0.650169 0.650191 0.650213
Logarithm Table for base 688 — N = 70.00–70.99
N.i 0 1 2 3 4 5 6 7 8 9
70.0 0.650235 0.650256 0.650278 0.650300 0.650322 0.650344 0.650366 0.650388 0.650409 0.650431
70.1 0.650453 0.650475 0.650497 0.650519 0.650540 0.650562 0.650584 0.650606 0.650628 0.650649
70.2 0.650671 0.650693 0.650715 0.650737 0.650758 0.650780 0.650802 0.650824 0.650846 0.650867
70.3 0.650889 0.650911 0.650933 0.650954 0.650976 0.650998 0.651020 0.651041 0.651063 0.651085
70.4 0.651107 0.651128 0.651150 0.651172 0.651194 0.651215 0.651237 0.651259 0.651280 0.651302
70.5 0.651324 0.651346 0.651367 0.651389 0.651411 0.651432 0.651454 0.651476 0.651497 0.651519
70.6 0.651541 0.651562 0.651584 0.651606 0.651628 0.651649 0.651671 0.651692 0.651714 0.651736
70.7 0.651757 0.651779 0.651801 0.651822 0.651844 0.651866 0.651887 0.651909 0.651931 0.651952
70.8 0.651974 0.651995 0.652017 0.652039 0.652060 0.652082 0.652103 0.652125 0.652147 0.652168
70.9 0.652190 0.652211 0.652233 0.652255 0.652276 0.652298 0.652319 0.652341 0.652362 0.652384
Logarithm Table for base 688 — N = 71.00–71.99
N.i 0 1 2 3 4 5 6 7 8 9
71.0 0.652406 0.652427 0.652449 0.652470 0.652492 0.652513 0.652535 0.652556 0.652578 0.652599
71.1 0.652621 0.652642 0.652664 0.652685 0.652707 0.652729 0.652750 0.652772 0.652793 0.652815
71.2 0.652836 0.652858 0.652879 0.652901 0.652922 0.652943 0.652965 0.652986 0.653008 0.653029
71.3 0.653051 0.653072 0.653094 0.653115 0.653137 0.653158 0.653180 0.653201 0.653222 0.653244
71.4 0.653265 0.653287 0.653308 0.653330 0.653351 0.653372 0.653394 0.653415 0.653437 0.653458
71.5 0.653480 0.653501 0.653522 0.653544 0.653565 0.653587 0.653608 0.653629 0.653651 0.653672
71.6 0.653693 0.653715 0.653736 0.653758 0.653779 0.653800 0.653822 0.653843 0.653864 0.653886
71.7 0.653907 0.653928 0.653950 0.653971 0.653992 0.654014 0.654035 0.654056 0.654078 0.654099
71.8 0.654120 0.654142 0.654163 0.654184 0.654206 0.654227 0.654248 0.654270 0.654291 0.654312
71.9 0.654333 0.654355 0.654376 0.654397 0.654419 0.654440 0.654461 0.654482 0.654504 0.654525
Logarithm Table for base 688 — N = 72.00–72.99
N.i 0 1 2 3 4 5 6 7 8 9
72.0 0.654546 0.654567 0.654589 0.654610 0.654631 0.654652 0.654674 0.654695 0.654716 0.654737
72.1 0.654759 0.654780 0.654801 0.654822 0.654843 0.654865 0.654886 0.654907 0.654928 0.654949
72.2 0.654971 0.654992 0.655013 0.655034 0.655055 0.655077 0.655098 0.655119 0.655140 0.655161
72.3 0.655183 0.655204 0.655225 0.655246 0.655267 0.655288 0.655309 0.655331 0.655352 0.655373
72.4 0.655394 0.655415 0.655436 0.655457 0.655479 0.655500 0.655521 0.655542 0.655563 0.655584
72.5 0.655605 0.655626 0.655648 0.655669 0.655690 0.655711 0.655732 0.655753 0.655774 0.655795
72.6 0.655816 0.655837 0.655858 0.655879 0.655901 0.655922 0.655943 0.655964 0.655985 0.656006
72.7 0.656027 0.656048 0.656069 0.656090 0.656111 0.656132 0.656153 0.656174 0.656195 0.656216
72.8 0.656237 0.656258 0.656279 0.656300 0.656321 0.656342 0.656363 0.656384 0.656405 0.656426
72.9 0.656447 0.656468 0.656489 0.656510 0.656531 0.656552 0.656573 0.656594 0.656615 0.656636
Logarithm Table for base 688 — N = 73.00–73.99
N.i 0 1 2 3 4 5 6 7 8 9
73.0 0.656657 0.656678 0.656699 0.656720 0.656741 0.656762 0.656783 0.656804 0.656825 0.656846
73.1 0.656867 0.656888 0.656909 0.656930 0.656950 0.656971 0.656992 0.657013 0.657034 0.657055
73.2 0.657076 0.657097 0.657118 0.657139 0.657160 0.657180 0.657201 0.657222 0.657243 0.657264
73.3 0.657285 0.657306 0.657327 0.657348 0.657368 0.657389 0.657410 0.657431 0.657452 0.657473
73.4 0.657494 0.657514 0.657535 0.657556 0.657577 0.657598 0.657619 0.657639 0.657660 0.657681
73.5 0.657702 0.657723 0.657744 0.657764 0.657785 0.657806 0.657827 0.657848 0.657868 0.657889
73.6 0.657910 0.657931 0.657952 0.657972 0.657993 0.658014 0.658035 0.658055 0.658076 0.658097
73.7 0.658118 0.658139 0.658159 0.658180 0.658201 0.658222 0.658242 0.658263 0.658284 0.658305
73.8 0.658325 0.658346 0.658367 0.658388 0.658408 0.658429 0.658450 0.658470 0.658491 0.658512
73.9 0.658533 0.658553 0.658574 0.658595 0.658615 0.658636 0.658657 0.658677 0.658698 0.658719
Logarithm Table for base 688 — N = 74.00–74.99
N.i 0 1 2 3 4 5 6 7 8 9
74.0 0.658740 0.658760 0.658781 0.658802 0.658822 0.658843 0.658864 0.658884 0.658905 0.658926
74.1 0.658946 0.658967 0.658988 0.659008 0.659029 0.659049 0.659070 0.659091 0.659111 0.659132
74.2 0.659153 0.659173 0.659194 0.659215 0.659235 0.659256 0.659276 0.659297 0.659318 0.659338
74.3 0.659359 0.659379 0.659400 0.659421 0.659441 0.659462 0.659482 0.659503 0.659523 0.659544
74.4 0.659565 0.659585 0.659606 0.659626 0.659647 0.659667 0.659688 0.659709 0.659729 0.659750
74.5 0.659770 0.659791 0.659811 0.659832 0.659852 0.659873 0.659893 0.659914 0.659934 0.659955
74.6 0.659975 0.659996 0.660017 0.660037 0.660058 0.660078 0.660099 0.660119 0.660140 0.660160
74.7 0.660181 0.660201 0.660221 0.660242 0.660262 0.660283 0.660303 0.660324 0.660344 0.660365
74.8 0.660385 0.660406 0.660426 0.660447 0.660467 0.660488 0.660508 0.660528 0.660549 0.660569
74.9 0.660590 0.660610 0.660631 0.660651 0.660671 0.660692 0.660712 0.660733 0.660753 0.660774
Logarithm Table for base 688 — N = 75.00–75.99
N.i 0 1 2 3 4 5 6 7 8 9
75.0 0.660794 0.660814 0.660835 0.660855 0.660876 0.660896 0.660916 0.660937 0.660957 0.660977
75.1 0.660998 0.661018 0.661039 0.661059 0.661079 0.661100 0.661120 0.661140 0.661161 0.661181
75.2 0.661202 0.661222 0.661242 0.661263 0.661283 0.661303 0.661324 0.661344 0.661364 0.661385
75.3 0.661405 0.661425 0.661446 0.661466 0.661486 0.661507 0.661527 0.661547 0.661567 0.661588
75.4 0.661608 0.661628 0.661649 0.661669 0.661689 0.661710 0.661730 0.661750 0.661770 0.661791
75.5 0.661811 0.661831 0.661851 0.661872 0.661892 0.661912 0.661932 0.661953 0.661973 0.661993
75.6 0.662013 0.662034 0.662054 0.662074 0.662094 0.662115 0.662135 0.662155 0.662175 0.662196
75.7 0.662216 0.662236 0.662256 0.662276 0.662297 0.662317 0.662337 0.662357 0.662377 0.662398
75.8 0.662418 0.662438 0.662458 0.662478 0.662499 0.662519 0.662539 0.662559 0.662579 0.662599
75.9 0.662620 0.662640 0.662660 0.662680 0.662700 0.662720 0.662741 0.662761 0.662781 0.662801
Logarithm Table for base 688 — N = 76.00–76.99
N.i 0 1 2 3 4 5 6 7 8 9
76.0 0.662821 0.662841 0.662861 0.662882 0.662902 0.662922 0.662942 0.662962 0.662982 0.663002
76.1 0.663022 0.663042 0.663063 0.663083 0.663103 0.663123 0.663143 0.663163 0.663183 0.663203
76.2 0.663223 0.663243 0.663264 0.663284 0.663304 0.663324 0.663344 0.663364 0.663384 0.663404
76.3 0.663424 0.663444 0.663464 0.663484 0.663504 0.663524 0.663544 0.663564 0.663584 0.663605
76.4 0.663625 0.663645 0.663665 0.663685 0.663705 0.663725 0.663745 0.663765 0.663785 0.663805
76.5 0.663825 0.663845 0.663865 0.663885 0.663905 0.663925 0.663945 0.663965 0.663985 0.664005
76.6 0.664025 0.664045 0.664065 0.664085 0.664105 0.664125 0.664145 0.664164 0.664184 0.664204
76.7 0.664224 0.664244 0.664264 0.664284 0.664304 0.664324 0.664344 0.664364 0.664384 0.664404
76.8 0.664424 0.664444 0.664464 0.664484 0.664503 0.664523 0.664543 0.664563 0.664583 0.664603
76.9 0.664623 0.664643 0.664663 0.664683 0.664703 0.664722 0.664742 0.664762 0.664782 0.664802
Logarithm Table for base 688 — N = 77.00–77.99
N.i 0 1 2 3 4 5 6 7 8 9
77.0 0.664822 0.664842 0.664862 0.664881 0.664901 0.664921 0.664941 0.664961 0.664981 0.665001
77.1 0.665020 0.665040 0.665060 0.665080 0.665100 0.665120 0.665140 0.665159 0.665179 0.665199
77.2 0.665219 0.665239 0.665258 0.665278 0.665298 0.665318 0.665338 0.665358 0.665377 0.665397
77.3 0.665417 0.665437 0.665457 0.665476 0.665496 0.665516 0.665536 0.665556 0.665575 0.665595
77.4 0.665615 0.665635 0.665654 0.665674 0.665694 0.665714 0.665733 0.665753 0.665773 0.665793
77.5 0.665812 0.665832 0.665852 0.665872 0.665891 0.665911 0.665931 0.665951 0.665970 0.665990
77.6 0.666010 0.666030 0.666049 0.666069 0.666089 0.666108 0.666128 0.666148 0.666168 0.666187
77.7 0.666207 0.666227 0.666246 0.666266 0.666286 0.666305 0.666325 0.666345 0.666364 0.666384
77.8 0.666404 0.666423 0.666443 0.666463 0.666482 0.666502 0.666522 0.666541 0.666561 0.666581
77.9 0.666600 0.666620 0.666640 0.666659 0.666679 0.666699 0.666718 0.666738 0.666757 0.666777
Logarithm Table for base 688 — N = 78.00–78.99
N.i 0 1 2 3 4 5 6 7 8 9
78.0 0.666797 0.666816 0.666836 0.666856 0.666875 0.666895 0.666914 0.666934 0.666954 0.666973
78.1 0.666993 0.667012 0.667032 0.667052 0.667071 0.667091 0.667110 0.667130 0.667149 0.667169
78.2 0.667189 0.667208 0.667228 0.667247 0.667267 0.667286 0.667306 0.667326 0.667345 0.667365
78.3 0.667384 0.667404 0.667423 0.667443 0.667462 0.667482 0.667501 0.667521 0.667541 0.667560
78.4 0.667580 0.667599 0.667619 0.667638 0.667658 0.667677 0.667697 0.667716 0.667736 0.667755
78.5 0.667775 0.667794 0.667814 0.667833 0.667853 0.667872 0.667892 0.667911 0.667931 0.667950
78.6 0.667970 0.667989 0.668008 0.668028 0.668047 0.668067 0.668086 0.668106 0.668125 0.668145
78.7 0.668164 0.668184 0.668203 0.668222 0.668242 0.668261 0.668281 0.668300 0.668320 0.668339
78.8 0.668358 0.668378 0.668397 0.668417 0.668436 0.668456 0.668475 0.668494 0.668514 0.668533
78.9 0.668553 0.668572 0.668591 0.668611 0.668630 0.668650 0.668669 0.668688 0.668708 0.668727
Logarithm Table for base 688 — N = 79.00–79.99
N.i 0 1 2 3 4 5 6 7 8 9
79.0 0.668746 0.668766 0.668785 0.668805 0.668824 0.668843 0.668863 0.668882 0.668901 0.668921
79.1 0.668940 0.668959 0.668979 0.668998 0.669017 0.669037 0.669056 0.669075 0.669095 0.669114
79.2 0.669133 0.669153 0.669172 0.669191 0.669211 0.669230 0.669249 0.669269 0.669288 0.669307
79.3 0.669327 0.669346 0.669365 0.669384 0.669404 0.669423 0.669442 0.669462 0.669481 0.669500
79.4 0.669519 0.669539 0.669558 0.669577 0.669596 0.669616 0.669635 0.669654 0.669674 0.669693
79.5 0.669712 0.669731 0.669751 0.669770 0.669789 0.669808 0.669828 0.669847 0.669866 0.669885
79.6 0.669904 0.669924 0.669943 0.669962 0.669981 0.670001 0.670020 0.670039 0.670058 0.670077
79.7 0.670097 0.670116 0.670135 0.670154 0.670173 0.670193 0.670212 0.670231 0.670250 0.670269
79.8 0.670288 0.670308 0.670327 0.670346 0.670365 0.670384 0.670404 0.670423 0.670442 0.670461
79.9 0.670480 0.670499 0.670518 0.670538 0.670557 0.670576 0.670595 0.670614 0.670633 0.670652
Logarithm Table for base 688 — N = 80.00–80.99
N.i 0 1 2 3 4 5 6 7 8 9
80.0 0.670672 0.670691 0.670710 0.670729 0.670748 0.670767 0.670786 0.670805 0.670825 0.670844
80.1 0.670863 0.670882 0.670901 0.670920 0.670939 0.670958 0.670977 0.670996 0.671016 0.671035
80.2 0.671054 0.671073 0.671092 0.671111 0.671130 0.671149 0.671168 0.671187 0.671206 0.671225
80.3 0.671244 0.671264 0.671283 0.671302 0.671321 0.671340 0.671359 0.671378 0.671397 0.671416
80.4 0.671435 0.671454 0.671473 0.671492 0.671511 0.671530 0.671549 0.671568 0.671587 0.671606
80.5 0.671625 0.671644 0.671663 0.671682 0.671701 0.671720 0.671739 0.671758 0.671777 0.671796
80.6 0.671815 0.671834 0.671853 0.671872 0.671891 0.671910 0.671929 0.671948 0.671967 0.671986
80.7 0.672005 0.672024 0.672043 0.672062 0.672081 0.672100 0.672119 0.672138 0.672157 0.672176
80.8 0.672195 0.672213 0.672232 0.672251 0.672270 0.672289 0.672308 0.672327 0.672346 0.672365
80.9 0.672384 0.672403 0.672422 0.672441 0.672459 0.672478 0.672497 0.672516 0.672535 0.672554
Logarithm Table for base 688 — N = 81.00–81.99
N.i 0 1 2 3 4 5 6 7 8 9
81.0 0.672573 0.672592 0.672611 0.672630 0.672648 0.672667 0.672686 0.672705 0.672724 0.672743
81.1 0.672762 0.672781 0.672799 0.672818 0.672837 0.672856 0.672875 0.672894 0.672913 0.672931
81.2 0.672950 0.672969 0.672988 0.673007 0.673026 0.673045 0.673063 0.673082 0.673101 0.673120
81.3 0.673139 0.673158 0.673176 0.673195 0.673214 0.673233 0.673252 0.673270 0.673289 0.673308
81.4 0.673327 0.673346 0.673364 0.673383 0.673402 0.673421 0.673440 0.673458 0.673477 0.673496
81.5 0.673515 0.673534 0.673552 0.673571 0.673590 0.673609 0.673627 0.673646 0.673665 0.673684
81.6 0.673702 0.673721 0.673740 0.673759 0.673777 0.673796 0.673815 0.673834 0.673852 0.673871
81.7 0.673890 0.673909 0.673927 0.673946 0.673965 0.673983 0.674002 0.674021 0.674040 0.674058
81.8 0.674077 0.674096 0.674114 0.674133 0.674152 0.674171 0.674189 0.674208 0.674227 0.674245
81.9 0.674264 0.674283 0.674301 0.674320 0.674339 0.674357 0.674376 0.674395 0.674413 0.674432
Logarithm Table for base 688 — N = 82.00–82.99
N.i 0 1 2 3 4 5 6 7 8 9
82.0 0.674451 0.674469 0.674488 0.674507 0.674525 0.674544 0.674563 0.674581 0.674600 0.674619
82.1 0.674637 0.674656 0.674675 0.674693 0.674712 0.674731 0.674749 0.674768 0.674786 0.674805
82.2 0.674824 0.674842 0.674861 0.674880 0.674898 0.674917 0.674935 0.674954 0.674973 0.674991
82.3 0.675010 0.675028 0.675047 0.675066 0.675084 0.675103 0.675121 0.675140 0.675158 0.675177
82.4 0.675196 0.675214 0.675233 0.675251 0.675270 0.675288 0.675307 0.675326 0.675344 0.675363
82.5 0.675381 0.675400 0.675418 0.675437 0.675455 0.675474 0.675492 0.675511 0.675530 0.675548
82.6 0.675567 0.675585 0.675604 0.675622 0.675641 0.675659 0.675678 0.675696 0.675715 0.675733
82.7 0.675752 0.675770 0.675789 0.675807 0.675826 0.675844 0.675863 0.675881 0.675900 0.675918
82.8 0.675937 0.675955 0.675974 0.675992 0.676011 0.676029 0.676048 0.676066 0.676085 0.676103
82.9 0.676121 0.676140 0.676158 0.676177 0.676195 0.676214 0.676232 0.676251 0.676269 0.676288
Logarithm Table for base 688 — N = 83.00–83.99
N.i 0 1 2 3 4 5 6 7 8 9
83.0 0.676306 0.676324 0.676343 0.676361 0.676380 0.676398 0.676417 0.676435 0.676453 0.676472
83.1 0.676490 0.676509 0.676527 0.676546 0.676564 0.676582 0.676601 0.676619 0.676638 0.676656
83.2 0.676674 0.676693 0.676711 0.676730 0.676748 0.676766 0.676785 0.676803 0.676821 0.676840
83.3 0.676858 0.676877 0.676895 0.676913 0.676932 0.676950 0.676968 0.676987 0.677005 0.677023
83.4 0.677042 0.677060 0.677079 0.677097 0.677115 0.677134 0.677152 0.677170 0.677189 0.677207
83.5 0.677225 0.677244 0.677262 0.677280 0.677299 0.677317 0.677335 0.677353 0.677372 0.677390
83.6 0.677408 0.677427 0.677445 0.677463 0.677482 0.677500 0.677518 0.677537 0.677555 0.677573
83.7 0.677591 0.677610 0.677628 0.677646 0.677665 0.677683 0.677701 0.677719 0.677738 0.677756
83.8 0.677774 0.677792 0.677811 0.677829 0.677847 0.677865 0.677884 0.677902 0.677920 0.677938
83.9 0.677957 0.677975 0.677993 0.678011 0.678030 0.678048 0.678066 0.678084 0.678103 0.678121
Logarithm Table for base 688 — N = 84.00–84.99
N.i 0 1 2 3 4 5 6 7 8 9
84.0 0.678139 0.678157 0.678175 0.678194 0.678212 0.678230 0.678248 0.678266 0.678285 0.678303
84.1 0.678321 0.678339 0.678357 0.678376 0.678394 0.678412 0.678430 0.678448 0.678467 0.678485
84.2 0.678503 0.678521 0.678539 0.678557 0.678576 0.678594 0.678612 0.678630 0.678648 0.678666
84.3 0.678685 0.678703 0.678721 0.678739 0.678757 0.678775 0.678793 0.678812 0.678830 0.678848
84.4 0.678866 0.678884 0.678902 0.678920 0.678939 0.678957 0.678975 0.678993 0.679011 0.679029
84.5 0.679047 0.679065 0.679084 0.679102 0.679120 0.679138 0.679156 0.679174 0.679192 0.679210
84.6 0.679228 0.679246 0.679264 0.679283 0.679301 0.679319 0.679337 0.679355 0.679373 0.679391
84.7 0.679409 0.679427 0.679445 0.679463 0.679481 0.679499 0.679517 0.679536 0.679554 0.679572
84.8 0.679590 0.679608 0.679626 0.679644 0.679662 0.679680 0.679698 0.679716 0.679734 0.679752
84.9 0.679770 0.679788 0.679806 0.679824 0.679842 0.679860 0.679878 0.679896 0.679914 0.679932
Logarithm Table for base 688 — N = 85.00–85.99
N.i 0 1 2 3 4 5 6 7 8 9
85.0 0.679950 0.679968 0.679986 0.680004 0.680022 0.680040 0.680058 0.680076 0.680094 0.680112
85.1 0.680130 0.680148 0.680166 0.680184 0.680202 0.680220 0.680238 0.680256 0.680274 0.680292
85.2 0.680310 0.680328 0.680346 0.680364 0.680382 0.680400 0.680418 0.680436 0.680454 0.680472
85.3 0.680489 0.680507 0.680525 0.680543 0.680561 0.680579 0.680597 0.680615 0.680633 0.680651
85.4 0.680669 0.680687 0.680705 0.680723 0.680740 0.680758 0.680776 0.680794 0.680812 0.680830
85.5 0.680848 0.680866 0.680884 0.680902 0.680919 0.680937 0.680955 0.680973 0.680991 0.681009
85.6 0.681027 0.681045 0.681063 0.681080 0.681098 0.681116 0.681134 0.681152 0.681170 0.681188
85.7 0.681205 0.681223 0.681241 0.681259 0.681277 0.681295 0.681313 0.681330 0.681348 0.681366
85.8 0.681384 0.681402 0.681420 0.681437 0.681455 0.681473 0.681491 0.681509 0.681527 0.681544
85.9 0.681562 0.681580 0.681598 0.681616 0.681634 0.681651 0.681669 0.681687 0.681705 0.681723
Logarithm Table for base 688 — N = 86.00–86.99
N.i 0 1 2 3 4 5 6 7 8 9
86.0 0.681740 0.681758 0.681776 0.681794 0.681811 0.681829 0.681847 0.681865 0.681883 0.681900
86.1 0.681918 0.681936 0.681954 0.681972 0.681989 0.682007 0.682025 0.682043 0.682060 0.682078
86.2 0.682096 0.682114 0.682131 0.682149 0.682167 0.682185 0.682202 0.682220 0.682238 0.682256
86.3 0.682273 0.682291 0.682309 0.682326 0.682344 0.682362 0.682380 0.682397 0.682415 0.682433
86.4 0.682451 0.682468 0.682486 0.682504 0.682521 0.682539 0.682557 0.682574 0.682592 0.682610
86.5 0.682628 0.682645 0.682663 0.682681 0.682698 0.682716 0.682734 0.682751 0.682769 0.682787
86.6 0.682804 0.682822 0.682840 0.682857 0.682875 0.682893 0.682910 0.682928 0.682946 0.682963
86.7 0.682981 0.682999 0.683016 0.683034 0.683052 0.683069 0.683087 0.683105 0.683122 0.683140
86.8 0.683157 0.683175 0.683193 0.683210 0.683228 0.683246 0.683263 0.683281 0.683298 0.683316
86.9 0.683334 0.683351 0.683369 0.683387 0.683404 0.683422 0.683439 0.683457 0.683475 0.683492
Logarithm Table for base 688 — N = 87.00–87.99
N.i 0 1 2 3 4 5 6 7 8 9
87.0 0.683510 0.683527 0.683545 0.683562 0.683580 0.683598 0.683615 0.683633 0.683650 0.683668
87.1 0.683686 0.683703 0.683721 0.683738 0.683756 0.683773 0.683791 0.683808 0.683826 0.683844
87.2 0.683861 0.683879 0.683896 0.683914 0.683931 0.683949 0.683966 0.683984 0.684001 0.684019
87.3 0.684037 0.684054 0.684072 0.684089 0.684107 0.684124 0.684142 0.684159 0.684177 0.684194
87.4 0.684212 0.684229 0.684247 0.684264 0.684282 0.684299 0.684317 0.684334 0.684352 0.684369
87.5 0.684387 0.684404 0.684422 0.684439 0.684457 0.684474 0.684492 0.684509 0.684527 0.684544
87.6 0.684562 0.684579 0.684597 0.684614 0.684631 0.684649 0.684666 0.684684 0.684701 0.684719
87.7 0.684736 0.684754 0.684771 0.684789 0.684806 0.684823 0.684841 0.684858 0.684876 0.684893
87.8 0.684911 0.684928 0.684946 0.684963 0.684980 0.684998 0.685015 0.685033 0.685050 0.685067
87.9 0.685085 0.685102 0.685120 0.685137 0.685154 0.685172 0.685189 0.685207 0.685224 0.685241
Logarithm Table for base 688 — N = 88.00–88.99
N.i 0 1 2 3 4 5 6 7 8 9
88.0 0.685259 0.685276 0.685294 0.685311 0.685328 0.685346 0.685363 0.685381 0.685398 0.685415
88.1 0.685433 0.685450 0.685467 0.685485 0.685502 0.685520 0.685537 0.685554 0.685572 0.685589
88.2 0.685606 0.685624 0.685641 0.685658 0.685676 0.685693 0.685710 0.685728 0.685745 0.685762
88.3 0.685780 0.685797 0.685814 0.685832 0.685849 0.685866 0.685884 0.685901 0.685918 0.685936
88.4 0.685953 0.685970 0.685988 0.686005 0.686022 0.686040 0.686057 0.686074 0.686091 0.686109
88.5 0.686126 0.686143 0.686161 0.686178 0.686195 0.686212 0.686230 0.686247 0.686264 0.686282
88.6 0.686299 0.686316 0.686333 0.686351 0.686368 0.686385 0.686402 0.686420 0.686437 0.686454
88.7 0.686472 0.686489 0.686506 0.686523 0.686541 0.686558 0.686575 0.686592 0.686609 0.686627
88.8 0.686644 0.686661 0.686678 0.686696 0.686713 0.686730 0.686747 0.686765 0.686782 0.686799
88.9 0.686816 0.686833 0.686851 0.686868 0.686885 0.686902 0.686919 0.686937 0.686954 0.686971
Logarithm Table for base 688 — N = 89.00–89.99
N.i 0 1 2 3 4 5 6 7 8 9
89.0 0.686988 0.687005 0.687023 0.687040 0.687057 0.687074 0.687091 0.687109 0.687126 0.687143
89.1 0.687160 0.687177 0.687195 0.687212 0.687229 0.687246 0.687263 0.687280 0.687298 0.687315
89.2 0.687332 0.687349 0.687366 0.687383 0.687400 0.687418 0.687435 0.687452 0.687469 0.687486
89.3 0.687503 0.687520 0.687538 0.687555 0.687572 0.687589 0.687606 0.687623 0.687640 0.687657
89.4 0.687675 0.687692 0.687709 0.687726 0.687743 0.687760 0.687777 0.687794 0.687812 0.687829
89.5 0.687846 0.687863 0.687880 0.687897 0.687914 0.687931 0.687948 0.687965 0.687982 0.688000
89.6 0.688017 0.688034 0.688051 0.688068 0.688085 0.688102 0.688119 0.688136 0.688153 0.688170
89.7 0.688187 0.688204 0.688221 0.688239 0.688256 0.688273 0.688290 0.688307 0.688324 0.688341
89.8 0.688358 0.688375 0.688392 0.688409 0.688426 0.688443 0.688460 0.688477 0.688494 0.688511
89.9 0.688528 0.688545 0.688562 0.688579 0.688596 0.688613 0.688630 0.688647 0.688664 0.688681
Logarithm Table for base 688 — N = 90.00–90.99
N.i 0 1 2 3 4 5 6 7 8 9
90.0 0.688698 0.688715 0.688732 0.688749 0.688766 0.688783 0.688800 0.688817 0.688834 0.688851
90.1 0.688868 0.688885 0.688902 0.688919 0.688936 0.688953 0.688970 0.688987 0.689004 0.689021
90.2 0.689038 0.689055 0.689072 0.689089 0.689106 0.689123 0.689140 0.689157 0.689174 0.689191
90.3 0.689208 0.689225 0.689242 0.689259 0.689275 0.689292 0.689309 0.689326 0.689343 0.689360
90.4 0.689377 0.689394 0.689411 0.689428 0.689445 0.689462 0.689479 0.689496 0.689512 0.689529
90.5 0.689546 0.689563 0.689580 0.689597 0.689614 0.689631 0.689648 0.689665 0.689682 0.689698
90.6 0.689715 0.689732 0.689749 0.689766 0.689783 0.689800 0.689817 0.689834 0.689850 0.689867
90.7 0.689884 0.689901 0.689918 0.689935 0.689952 0.689968 0.689985 0.690002 0.690019 0.690036
90.8 0.690053 0.690070 0.690087 0.690103 0.690120 0.690137 0.690154 0.690171 0.690188 0.690204
90.9 0.690221 0.690238 0.690255 0.690272 0.690289 0.690305 0.690322 0.690339 0.690356 0.690373
Logarithm Table for base 688 — N = 91.00–91.99
N.i 0 1 2 3 4 5 6 7 8 9
91.0 0.690390 0.690406 0.690423 0.690440 0.690457 0.690474 0.690490 0.690507 0.690524 0.690541
91.1 0.690558 0.690574 0.690591 0.690608 0.690625 0.690642 0.690658 0.690675 0.690692 0.690709
91.2 0.690726 0.690742 0.690759 0.690776 0.690793 0.690809 0.690826 0.690843 0.690860 0.690877
91.3 0.690893 0.690910 0.690927 0.690944 0.690960 0.690977 0.690994 0.691011 0.691027 0.691044
91.4 0.691061 0.691078 0.691094 0.691111 0.691128 0.691145 0.691161 0.691178 0.691195 0.691211
91.5 0.691228 0.691245 0.691262 0.691278 0.691295 0.691312 0.691329 0.691345 0.691362 0.691379
91.6 0.691395 0.691412 0.691429 0.691445 0.691462 0.691479 0.691496 0.691512 0.691529 0.691546
91.7 0.691562 0.691579 0.691596 0.691612 0.691629 0.691646 0.691662 0.691679 0.691696 0.691712
91.8 0.691729 0.691746 0.691763 0.691779 0.691796 0.691813 0.691829 0.691846 0.691862 0.691879
91.9 0.691896 0.691912 0.691929 0.691946 0.691962 0.691979 0.691996 0.692012 0.692029 0.692046
Logarithm Table for base 688 — N = 92.00–92.99
N.i 0 1 2 3 4 5 6 7 8 9
92.0 0.692062 0.692079 0.692096 0.692112 0.692129 0.692145 0.692162 0.692179 0.692195 0.692212
92.1 0.692229 0.692245 0.692262 0.692278 0.692295 0.692312 0.692328 0.692345 0.692361 0.692378
92.2 0.692395 0.692411 0.692428 0.692444 0.692461 0.692478 0.692494 0.692511 0.692527 0.692544
92.3 0.692561 0.692577 0.692594 0.692610 0.692627 0.692643 0.692660 0.692677 0.692693 0.692710
92.4 0.692726 0.692743 0.692759 0.692776 0.692792 0.692809 0.692826 0.692842 0.692859 0.692875
92.5 0.692892 0.692908 0.692925 0.692941 0.692958 0.692974 0.692991 0.693008 0.693024 0.693041
92.6 0.693057 0.693074 0.693090 0.693107 0.693123 0.693140 0.693156 0.693173 0.693189 0.693206
92.7 0.693222 0.693239 0.693255 0.693272 0.693288 0.693305 0.693321 0.693338 0.693354 0.693371
92.8 0.693387 0.693404 0.693420 0.693437 0.693453 0.693470 0.693486 0.693503 0.693519 0.693536
92.9 0.693552 0.693569 0.693585 0.693602 0.693618 0.693635 0.693651 0.693667 0.693684 0.693700
Logarithm Table for base 688 — N = 93.00–93.99
N.i 0 1 2 3 4 5 6 7 8 9
93.0 0.693717 0.693733 0.693750 0.693766 0.693783 0.693799 0.693816 0.693832 0.693848 0.693865
93.1 0.693881 0.693898 0.693914 0.693931 0.693947 0.693964 0.693980 0.693996 0.694013 0.694029
93.2 0.694046 0.694062 0.694078 0.694095 0.694111 0.694128 0.694144 0.694161 0.694177 0.694193
93.3 0.694210 0.694226 0.694243 0.694259 0.694275 0.694292 0.694308 0.694325 0.694341 0.694357
93.4 0.694374 0.694390 0.694407 0.694423 0.694439 0.694456 0.694472 0.694488 0.694505 0.694521
93.5 0.694538 0.694554 0.694570 0.694587 0.694603 0.694619 0.694636 0.694652 0.694668 0.694685
93.6 0.694701 0.694717 0.694734 0.694750 0.694767 0.694783 0.694799 0.694816 0.694832 0.694848
93.7 0.694865 0.694881 0.694897 0.694914 0.694930 0.694946 0.694963 0.694979 0.694995 0.695011
93.8 0.695028 0.695044 0.695060 0.695077 0.695093 0.695109 0.695126 0.695142 0.695158 0.695175
93.9 0.695191 0.695207 0.695223 0.695240 0.695256 0.695272 0.695289 0.695305 0.695321 0.695337
Logarithm Table for base 688 — N = 94.00–94.99
N.i 0 1 2 3 4 5 6 7 8 9
94.0 0.695354 0.695370 0.695386 0.695403 0.695419 0.695435 0.695451 0.695468 0.695484 0.695500
94.1 0.695517 0.695533 0.695549 0.695565 0.695582 0.695598 0.695614 0.695630 0.695647 0.695663
94.2 0.695679 0.695695 0.695712 0.695728 0.695744 0.695760 0.695777 0.695793 0.695809 0.695825
94.3 0.695841 0.695858 0.695874 0.695890 0.695906 0.695923 0.695939 0.695955 0.695971 0.695987
94.4 0.696004 0.696020 0.696036 0.696052 0.696069 0.696085 0.696101 0.696117 0.696133 0.696150
94.5 0.696166 0.696182 0.696198 0.696214 0.696230 0.696247 0.696263 0.696279 0.696295 0.696311
94.6 0.696328 0.696344 0.696360 0.696376 0.696392 0.696408 0.696425 0.696441 0.696457 0.696473
94.7 0.696489 0.696505 0.696522 0.696538 0.696554 0.696570 0.696586 0.696602 0.696619 0.696635
94.8 0.696651 0.696667 0.696683 0.696699 0.696715 0.696732 0.696748 0.696764 0.696780 0.696796
94.9 0.696812 0.696828 0.696844 0.696861 0.696877 0.696893 0.696909 0.696925 0.696941 0.696957
Logarithm Table for base 688 — N = 95.00–95.99
N.i 0 1 2 3 4 5 6 7 8 9
95.0 0.696973 0.696989 0.697006 0.697022 0.697038 0.697054 0.697070 0.697086 0.697102 0.697118
95.1 0.697134 0.697150 0.697167 0.697183 0.697199 0.697215 0.697231 0.697247 0.697263 0.697279
95.2 0.697295 0.697311 0.697327 0.697343 0.697360 0.697376 0.697392 0.697408 0.697424 0.697440
95.3 0.697456 0.697472 0.697488 0.697504 0.697520 0.697536 0.697552 0.697568 0.697584 0.697600
95.4 0.697616 0.697632 0.697649 0.697665 0.697681 0.697697 0.697713 0.697729 0.697745 0.697761
95.5 0.697777 0.697793 0.697809 0.697825 0.697841 0.697857 0.697873 0.697889 0.697905 0.697921
95.6 0.697937 0.697953 0.697969 0.697985 0.698001 0.698017 0.698033 0.698049 0.698065 0.698081
95.7 0.698097 0.698113 0.698129 0.698145 0.698161 0.698177 0.698193 0.698209 0.698225 0.698241
95.8 0.698257 0.698273 0.698289 0.698305 0.698321 0.698337 0.698353 0.698369 0.698385 0.698401
95.9 0.698417 0.698432 0.698448 0.698464 0.698480 0.698496 0.698512 0.698528 0.698544 0.698560
Logarithm Table for base 688 — N = 96.00–96.99
N.i 0 1 2 3 4 5 6 7 8 9
96.0 0.698576 0.698592 0.698608 0.698624 0.698640 0.698656 0.698672 0.698688 0.698704 0.698719
96.1 0.698735 0.698751 0.698767 0.698783 0.698799 0.698815 0.698831 0.698847 0.698863 0.698879
96.2 0.698895 0.698910 0.698926 0.698942 0.698958 0.698974 0.698990 0.699006 0.699022 0.699038
96.3 0.699054 0.699069 0.699085 0.699101 0.699117 0.699133 0.699149 0.699165 0.699181 0.699197
96.4 0.699212 0.699228 0.699244 0.699260 0.699276 0.699292 0.699308 0.699324 0.699339 0.699355
96.5 0.699371 0.699387 0.699403 0.699419 0.699435 0.699450 0.699466 0.699482 0.699498 0.699514
96.6 0.699530 0.699545 0.699561 0.699577 0.699593 0.699609 0.699625 0.699640 0.699656 0.699672
96.7 0.699688 0.699704 0.699720 0.699735 0.699751 0.699767 0.699783 0.699799 0.699815 0.699830
96.8 0.699846 0.699862 0.699878 0.699894 0.699909 0.699925 0.699941 0.699957 0.699973 0.699988
96.9 0.700004 0.700020 0.700036 0.700052 0.700067 0.700083 0.700099 0.700115 0.700130 0.700146
Logarithm Table for base 688 — N = 97.00–97.99
N.i 0 1 2 3 4 5 6 7 8 9
97.0 0.700162 0.700178 0.700194 0.700209 0.700225 0.700241 0.700257 0.700272 0.700288 0.700304
97.1 0.700320 0.700336 0.700351 0.700367 0.700383 0.700399 0.700414 0.700430 0.700446 0.700462
97.2 0.700477 0.700493 0.700509 0.700525 0.700540 0.700556 0.700572 0.700587 0.700603 0.700619
97.3 0.700635 0.700650 0.700666 0.700682 0.700698 0.700713 0.700729 0.700745 0.700760 0.700776
97.4 0.700792 0.700808 0.700823 0.700839 0.700855 0.700870 0.700886 0.700902 0.700918 0.700933
97.5 0.700949 0.700965 0.700980 0.700996 0.701012 0.701027 0.701043 0.701059 0.701074 0.701090
97.6 0.701106 0.701122 0.701137 0.701153 0.701169 0.701184 0.701200 0.701216 0.701231 0.701247
97.7 0.701263 0.701278 0.701294 0.701310 0.701325 0.701341 0.701357 0.701372 0.701388 0.701403
97.8 0.701419 0.701435 0.701450 0.701466 0.701482 0.701497 0.701513 0.701529 0.701544 0.701560
97.9 0.701576 0.701591 0.701607 0.701622 0.701638 0.701654 0.701669 0.701685 0.701701 0.701716
Logarithm Table for base 688 — N = 98.00–98.99
N.i 0 1 2 3 4 5 6 7 8 9
98.0 0.701732 0.701747 0.701763 0.701779 0.701794 0.701810 0.701825 0.701841 0.701857 0.701872
98.1 0.701888 0.701904 0.701919 0.701935 0.701950 0.701966 0.701981 0.701997 0.702013 0.702028
98.2 0.702044 0.702059 0.702075 0.702091 0.702106 0.702122 0.702137 0.702153 0.702168 0.702184
98.3 0.702200 0.702215 0.702231 0.702246 0.702262 0.702277 0.702293 0.702309 0.702324 0.702340
98.4 0.702355 0.702371 0.702386 0.702402 0.702417 0.702433 0.702449 0.702464 0.702480 0.702495
98.5 0.702511 0.702526 0.702542 0.702557 0.702573 0.702588 0.702604 0.702619 0.702635 0.702650
98.6 0.702666 0.702682 0.702697 0.702713 0.702728 0.702744 0.702759 0.702775 0.702790 0.702806
98.7 0.702821 0.702837 0.702852 0.702868 0.702883 0.702899 0.702914 0.702930 0.702945 0.702961
98.8 0.702976 0.702992 0.703007 0.703023 0.703038 0.703054 0.703069 0.703085 0.703100 0.703115
98.9 0.703131 0.703146 0.703162 0.703177 0.703193 0.703208 0.703224 0.703239 0.703255 0.703270
Logarithm Table for base 688 — N = 99.00–99.99
N.i 0 1 2 3 4 5 6 7 8 9
99.0 0.703286 0.703301 0.703317 0.703332 0.703347 0.703363 0.703378 0.703394 0.703409 0.703425
99.1 0.703440 0.703456 0.703471 0.703486 0.703502 0.703517 0.703533 0.703548 0.703564 0.703579
99.2 0.703595 0.703610 0.703625 0.703641 0.703656 0.703672 0.703687 0.703702 0.703718 0.703733
99.3 0.703749 0.703764 0.703780 0.703795 0.703810 0.703826 0.703841 0.703857 0.703872 0.703887
99.4 0.703903 0.703918 0.703934 0.703949 0.703964 0.703980 0.703995 0.704011 0.704026 0.704041
99.5 0.704057 0.704072 0.704087 0.704103 0.704118 0.704134 0.704149 0.704164 0.704180 0.704195
99.6 0.704210 0.704226 0.704241 0.704257 0.704272 0.704287 0.704303 0.704318 0.704333 0.704349
99.7 0.704364 0.704379 0.704395 0.704410 0.704425 0.704441 0.704456 0.704471 0.704487 0.704502
99.8 0.704517 0.704533 0.704548 0.704563 0.704579 0.704594 0.704609 0.704625 0.704640 0.704655
99.9 0.704671 0.704686 0.704701 0.704717 0.704732 0.704747 0.704763 0.704778 0.704793 0.704809
Logarithm Table for base 688 — N = 100.00–100.99
N.i 0 1 2 3 4 5 6 7 8 9
100.0 0.704824 0.704839 0.704854 0.704870 0.704885 0.704900 0.704916 0.704931 0.704946 0.704962
100.1 0.704977 0.704992 0.705007 0.705023 0.705038 0.705053 0.705069 0.705084 0.705099 0.705114
100.2 0.705130 0.705145 0.705160 0.705175 0.705191 0.705206 0.705221 0.705237 0.705252 0.705267
100.3 0.705282 0.705298 0.705313 0.705328 0.705343 0.705359 0.705374 0.705389 0.705404 0.705420
100.4 0.705435 0.705450 0.705465 0.705481 0.705496 0.705511 0.705526 0.705541 0.705557 0.705572
100.5 0.705587 0.705602 0.705618 0.705633 0.705648 0.705663 0.705679 0.705694 0.705709 0.705724
100.6 0.705739 0.705755 0.705770 0.705785 0.705800 0.705815 0.705831 0.705846 0.705861 0.705876
100.7 0.705891 0.705907 0.705922 0.705937 0.705952 0.705967 0.705983 0.705998 0.706013 0.706028
100.8 0.706043 0.706059 0.706074 0.706089 0.706104 0.706119 0.706134 0.706150 0.706165 0.706180
100.9 0.706195 0.706210 0.706225 0.706241 0.706256 0.706271 0.706286 0.706301 0.706316 0.706332

Other Bases

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