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 |
Other Bases
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