Logarithm Table for base 688
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 |
Other Bases
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