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Logarithm Table for base 31

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This page shows the logarithm table for base 31, 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 31 — N = 1.00–1.99
N.i 0 1 2 3 4 5 6 7 8 9
1.0 0.000000 0.002898 0.005767 0.008608 0.011421 0.014208 0.016968 0.019703 0.022412 0.025096
1.1 0.027755 0.030390 0.033002 0.035591 0.038156 0.040700 0.043221 0.045721 0.048199 0.050656
1.2 0.053093 0.055510 0.057907 0.060284 0.062642 0.064981 0.067301 0.069603 0.071887 0.074154
1.3 0.076402 0.078634 0.080848 0.083046 0.085227 0.087392 0.089542 0.091675 0.093793 0.095895
1.4 0.097983 0.100056 0.102114 0.104157 0.106187 0.108202 0.110203 0.112191 0.114165 0.116126
1.5 0.118074 0.120009 0.121931 0.123841 0.125738 0.127623 0.129495 0.131356 0.133205 0.135042
1.6 0.136868 0.138683 0.140486 0.142278 0.144059 0.145829 0.147589 0.149338 0.151076 0.152804
1.7 0.154522 0.156230 0.157928 0.159617 0.161295 0.162964 0.164623 0.166273 0.167914 0.169545
1.8 0.171167 0.172781 0.174385 0.175981 0.177568 0.179146 0.180716 0.182277 0.183831 0.185375
1.9 0.186912 0.188441 0.189961 0.191474 0.192979 0.194476 0.195966 0.197448 0.198922 0.200389

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Logarithm Table for base 31 — N = 2.00–2.99
N.i 0 1 2 3 4 5 6 7 8 9
2.0 0.201849 0.203301 0.204747 0.206185 0.207616 0.209040 0.210457 0.211867 0.213270 0.214667
2.1 0.216057 0.217441 0.218817 0.220188 0.221552 0.222909 0.224261 0.225606 0.226945 0.228277
2.2 0.229604 0.230925 0.232239 0.233548 0.234851 0.236148 0.237440 0.238725 0.240005 0.241280
2.3 0.242549 0.243812 0.245070 0.246322 0.247570 0.248811 0.250048 0.251279 0.252505 0.253726
2.4 0.254942 0.256153 0.257359 0.258560 0.259756 0.260947 0.262133 0.263314 0.264491 0.265663
2.5 0.266830 0.267992 0.269150 0.270304 0.271452 0.272597 0.273736 0.274872 0.276003 0.277129
2.6 0.278251 0.279369 0.280483 0.281592 0.282697 0.283798 0.284895 0.285988 0.287076 0.288161
2.7 0.289242 0.290318 0.291391 0.292459 0.293524 0.294585 0.295642 0.296695 0.297745 0.298790
2.8 0.299832 0.300870 0.301905 0.302936 0.303963 0.304986 0.306006 0.307023 0.308036 0.309045
2.9 0.310051 0.311053 0.312052 0.313048 0.314040 0.315029 0.316014 0.316997 0.317975 0.318951
Logarithm Table for base 31 — N = 3.00–3.99
N.i 0 1 2 3 4 5 6 7 8 9
3.0 0.319923 0.320892 0.321858 0.322821 0.323780 0.324737 0.325690 0.326640 0.327587 0.328531
3.1 0.329472 0.330410 0.331345 0.332276 0.333205 0.334131 0.335054 0.335974 0.336892 0.337806
3.2 0.338717 0.339626 0.340532 0.341435 0.342335 0.343232 0.344127 0.345019 0.345908 0.346794
3.3 0.347678 0.348559 0.349438 0.350314 0.351187 0.352057 0.352925 0.353791 0.354654 0.355514
3.4 0.356372 0.357227 0.358080 0.358930 0.359778 0.360623 0.361466 0.362306 0.363144 0.363980
3.5 0.364813 0.365644 0.366472 0.367298 0.368122 0.368944 0.369763 0.370580 0.371394 0.372206
3.6 0.373016 0.373824 0.374630 0.375433 0.376234 0.377033 0.377830 0.378624 0.379417 0.380207
3.7 0.380995 0.381781 0.382565 0.383347 0.384127 0.384904 0.385680 0.386453 0.387225 0.387994
3.8 0.388761 0.389527 0.390290 0.391051 0.391811 0.392568 0.393323 0.394077 0.394828 0.395578
3.9 0.396325 0.397071 0.397815 0.398557 0.399297 0.400035 0.400771 0.401506 0.402238 0.402969
Logarithm Table for base 31 — N = 4.00–4.99
N.i 0 1 2 3 4 5 6 7 8 9
4.0 0.403698 0.404425 0.405151 0.405874 0.406596 0.407316 0.408034 0.408750 0.409465 0.410178
4.1 0.410889 0.411598 0.412306 0.413012 0.413716 0.414419 0.415120 0.415819 0.416516 0.417212
4.2 0.417906 0.418599 0.419290 0.419979 0.420666 0.421352 0.422037 0.422720 0.423401 0.424080
4.3 0.424758 0.425435 0.426110 0.426783 0.427455 0.428125 0.428794 0.429461 0.430126 0.430791
4.4 0.431453 0.432114 0.432774 0.433432 0.434089 0.434744 0.435397 0.436050 0.436700 0.437350
4.5 0.437997 0.438644 0.439289 0.439932 0.440574 0.441215 0.441854 0.442492 0.443129 0.443764
4.6 0.444398 0.445030 0.445661 0.446291 0.446919 0.447546 0.448172 0.448796 0.449419 0.450040
4.7 0.450661 0.451279 0.451897 0.452513 0.453128 0.453742 0.454355 0.454966 0.455576 0.456184
4.8 0.456791 0.457397 0.458002 0.458606 0.459208 0.459809 0.460409 0.461008 0.461605 0.462201
4.9 0.462796 0.463390 0.463982 0.464573 0.465163 0.465752 0.466340 0.466927 0.467512 0.468096
Logarithm Table for base 31 — N = 5.00–5.99
N.i 0 1 2 3 4 5 6 7 8 9
5.0 0.468679 0.469261 0.469842 0.470421 0.470999 0.471577 0.472153 0.472728 0.473301 0.473874
5.1 0.474446 0.475016 0.475585 0.476154 0.476721 0.477287 0.477852 0.478415 0.478978 0.479540
5.2 0.480100 0.480660 0.481218 0.481776 0.482332 0.482887 0.483441 0.483994 0.484546 0.485097
5.3 0.485647 0.486196 0.486744 0.487291 0.487837 0.488382 0.488926 0.489468 0.490010 0.490551
5.4 0.491091 0.491629 0.492167 0.492704 0.493240 0.493775 0.494308 0.494841 0.495373 0.495904
5.5 0.496434 0.496963 0.497491 0.498018 0.498544 0.499069 0.499594 0.500117 0.500639 0.501161
5.6 0.501681 0.502201 0.502719 0.503237 0.503754 0.504270 0.504785 0.505299 0.505812 0.506324
5.7 0.506835 0.507346 0.507855 0.508364 0.508872 0.509379 0.509885 0.510390 0.510894 0.511397
5.8 0.511900 0.512402 0.512902 0.513402 0.513901 0.514400 0.514897 0.515393 0.515889 0.516384
5.9 0.516878 0.517371 0.517863 0.518355 0.518846 0.519335 0.519824 0.520313 0.520800 0.521287
Logarithm Table for base 31 — N = 6.00–6.99
N.i 0 1 2 3 4 5 6 7 8 9
6.0 0.521772 0.522257 0.522741 0.523225 0.523707 0.524189 0.524670 0.525150 0.525629 0.526108
6.1 0.526586 0.527063 0.527539 0.528014 0.528489 0.528963 0.529436 0.529908 0.530380 0.530851
6.2 0.531321 0.531790 0.532259 0.532727 0.533194 0.533660 0.534126 0.534590 0.535054 0.535518
6.3 0.535980 0.536442 0.536903 0.537364 0.537823 0.538282 0.538741 0.539198 0.539655 0.540111
6.4 0.540566 0.541021 0.541475 0.541928 0.542381 0.542833 0.543284 0.543734 0.544184 0.544633
6.5 0.545081 0.545529 0.545976 0.546422 0.546868 0.547313 0.547757 0.548201 0.548643 0.549086
6.6 0.549527 0.549968 0.550408 0.550848 0.551287 0.551725 0.552163 0.552600 0.553036 0.553471
6.7 0.553906 0.554341 0.554774 0.555207 0.555640 0.556072 0.556503 0.556933 0.557363 0.557792
6.8 0.558221 0.558649 0.559076 0.559503 0.559929 0.560354 0.560779 0.561203 0.561627 0.562050
6.9 0.562472 0.562894 0.563315 0.563735 0.564155 0.564575 0.564993 0.565411 0.565829 0.566246
Logarithm Table for base 31 — N = 7.00–7.99
N.i 0 1 2 3 4 5 6 7 8 9
7.0 0.566662 0.567078 0.567493 0.567907 0.568321 0.568735 0.569147 0.569560 0.569971 0.570382
7.1 0.570793 0.571203 0.571612 0.572021 0.572429 0.572836 0.573243 0.573650 0.574056 0.574461
7.2 0.574866 0.575270 0.575673 0.576076 0.576479 0.576881 0.577282 0.577683 0.578083 0.578483
7.3 0.578882 0.579281 0.579679 0.580077 0.580474 0.580870 0.581266 0.581661 0.582056 0.582451
7.4 0.582844 0.583238 0.583630 0.584023 0.584414 0.584805 0.585196 0.585586 0.585976 0.586365
7.5 0.586753 0.587141 0.587529 0.587916 0.588302 0.588688 0.589074 0.589459 0.589843 0.590227
7.6 0.590610 0.590993 0.591376 0.591758 0.592139 0.592520 0.592900 0.593280 0.593660 0.594039
7.7 0.594417 0.594795 0.595172 0.595549 0.595926 0.596302 0.596677 0.597052 0.597427 0.597801
7.8 0.598175 0.598548 0.598920 0.599292 0.599664 0.600035 0.600406 0.600776 0.601146 0.601515
7.9 0.601884 0.602253 0.602621 0.602988 0.603355 0.603722 0.604088 0.604453 0.604818 0.605183
Logarithm Table for base 31 — N = 8.00–8.99
N.i 0 1 2 3 4 5 6 7 8 9
8.0 0.605547 0.605911 0.606274 0.606637 0.607000 0.607362 0.607723 0.608084 0.608445 0.608805
8.1 0.609165 0.609524 0.609883 0.610241 0.610599 0.610957 0.611314 0.611671 0.612027 0.612383
8.2 0.612738 0.613093 0.613447 0.613801 0.614155 0.614508 0.614861 0.615213 0.615565 0.615917
8.3 0.616268 0.616618 0.616969 0.617318 0.617668 0.618017 0.618365 0.618713 0.619061 0.619408
8.4 0.619755 0.620102 0.620448 0.620793 0.621139 0.621484 0.621828 0.622172 0.622516 0.622859
8.5 0.623202 0.623544 0.623886 0.624228 0.624569 0.624910 0.625250 0.625590 0.625930 0.626269
8.6 0.626608 0.626946 0.627284 0.627622 0.627959 0.628296 0.628632 0.628968 0.629304 0.629639
8.7 0.629974 0.630309 0.630643 0.630977 0.631310 0.631643 0.631976 0.632308 0.632640 0.632971
8.8 0.633302 0.633633 0.633963 0.634293 0.634623 0.634952 0.635281 0.635609 0.635938 0.636265
8.9 0.636593 0.636920 0.637246 0.637573 0.637899 0.638224 0.638549 0.638874 0.639199 0.639523
Logarithm Table for base 31 — N = 9.00–9.99
N.i 0 1 2 3 4 5 6 7 8 9
9.0 0.639846 0.640170 0.640493 0.640816 0.641138 0.641460 0.641781 0.642103 0.642424 0.642744
9.1 0.643064 0.643384 0.643704 0.644023 0.644341 0.644660 0.644978 0.645296 0.645613 0.645930
9.2 0.646247 0.646563 0.646879 0.647195 0.647510 0.647825 0.648140 0.648454 0.648768 0.649082
9.3 0.649395 0.649708 0.650021 0.650333 0.650645 0.650957 0.651268 0.651579 0.651889 0.652200
9.4 0.652510 0.652819 0.653129 0.653438 0.653746 0.654054 0.654362 0.654670 0.654977 0.655285
9.5 0.655591 0.655898 0.656204 0.656509 0.656815 0.657120 0.657425 0.657729 0.658033 0.658337
9.6 0.658641 0.658944 0.659247 0.659549 0.659851 0.660153 0.660455 0.660756 0.661057 0.661358
9.7 0.661658 0.661958 0.662258 0.662557 0.662857 0.663155 0.663454 0.663752 0.664050 0.664348
9.8 0.664645 0.664942 0.665239 0.665535 0.665831 0.666127 0.666422 0.666718 0.667013 0.667307
9.9 0.667601 0.667895 0.668189 0.668483 0.668776 0.669068 0.669361 0.669653 0.669945 0.670237
Logarithm Table for base 31 — N = 10.00–10.99
N.i 0 1 2 3 4 5 6 7 8 9
10.0 0.670528 0.670819 0.671110 0.671400 0.671691 0.671981 0.672270 0.672559 0.672849 0.673137
10.1 0.673426 0.673714 0.674002 0.674289 0.674577 0.674864 0.675151 0.675437 0.675723 0.676009
10.2 0.676295 0.676580 0.676865 0.677150 0.677435 0.677719 0.678003 0.678286 0.678570 0.678853
10.3 0.679136 0.679418 0.679701 0.679983 0.680265 0.680546 0.680827 0.681108 0.681389 0.681669
10.4 0.681949 0.682229 0.682509 0.682788 0.683067 0.683346 0.683625 0.683903 0.684181 0.684459
10.5 0.684736 0.685013 0.685290 0.685567 0.685843 0.686120 0.686395 0.686671 0.686946 0.687222
10.6 0.687496 0.687771 0.688045 0.688319 0.688593 0.688867 0.689140 0.689413 0.689686 0.689959
10.7 0.690231 0.690503 0.690775 0.691046 0.691317 0.691588 0.691859 0.692130 0.692400 0.692670
10.8 0.692940 0.693209 0.693478 0.693748 0.694016 0.694285 0.694553 0.694821 0.695089 0.695356
10.9 0.695624 0.695891 0.696158 0.696424 0.696690 0.696956 0.697222 0.697488 0.697753 0.698018
Logarithm Table for base 31 — N = 11.00–11.99
N.i 0 1 2 3 4 5 6 7 8 9
11.0 0.698283 0.698548 0.698812 0.699076 0.699340 0.699604 0.699867 0.700130 0.700393 0.700656
11.1 0.700918 0.701181 0.701443 0.701704 0.701966 0.702227 0.702488 0.702749 0.703010 0.703270
11.2 0.703530 0.703790 0.704050 0.704309 0.704568 0.704827 0.705086 0.705345 0.705603 0.705861
11.3 0.706119 0.706376 0.706634 0.706891 0.707148 0.707404 0.707661 0.707917 0.708173 0.708429
11.4 0.708684 0.708940 0.709195 0.709450 0.709704 0.709959 0.710213 0.710467 0.710721 0.710974
11.5 0.711228 0.711481 0.711734 0.711986 0.712239 0.712491 0.712743 0.712995 0.713247 0.713498
11.6 0.713749 0.714000 0.714251 0.714501 0.714751 0.715002 0.715251 0.715501 0.715750 0.716000
11.7 0.716249 0.716497 0.716746 0.716994 0.717243 0.717491 0.717738 0.717986 0.718233 0.718480
11.8 0.718727 0.718974 0.719220 0.719466 0.719713 0.719958 0.720204 0.720449 0.720695 0.720940
11.9 0.721185 0.721429 0.721674 0.721918 0.722162 0.722406 0.722649 0.722892 0.723136 0.723379
Logarithm Table for base 31 — N = 12.00–12.99
N.i 0 1 2 3 4 5 6 7 8 9
12.0 0.723621 0.723864 0.724106 0.724349 0.724590 0.724832 0.725074 0.725315 0.725556 0.725797
12.1 0.726038 0.726279 0.726519 0.726759 0.726999 0.727239 0.727479 0.727718 0.727957 0.728196
12.2 0.728435 0.728673 0.728912 0.729150 0.729388 0.729626 0.729864 0.730101 0.730338 0.730575
12.3 0.730812 0.731049 0.731285 0.731521 0.731758 0.731993 0.732229 0.732465 0.732700 0.732935
12.4 0.733170 0.733405 0.733639 0.733874 0.734108 0.734342 0.734576 0.734809 0.735043 0.735276
12.5 0.735509 0.735742 0.735975 0.736207 0.736439 0.736672 0.736903 0.737135 0.737367 0.737598
12.6 0.737829 0.738060 0.738291 0.738522 0.738752 0.738983 0.739213 0.739443 0.739673 0.739902
12.7 0.740131 0.740361 0.740590 0.740819 0.741047 0.741276 0.741504 0.741732 0.741960 0.742188
12.8 0.742415 0.742643 0.742870 0.743097 0.743324 0.743551 0.743777 0.744004 0.744230 0.744456
12.9 0.744682 0.744907 0.745133 0.745358 0.745583 0.745808 0.746033 0.746258 0.746482 0.746706
Logarithm Table for base 31 — N = 13.00–13.99
N.i 0 1 2 3 4 5 6 7 8 9
13.0 0.746930 0.747154 0.747378 0.747602 0.747825 0.748048 0.748271 0.748494 0.748717 0.748939
13.1 0.749162 0.749384 0.749606 0.749828 0.750050 0.750271 0.750493 0.750714 0.750935 0.751156
13.2 0.751376 0.751597 0.751817 0.752037 0.752257 0.752477 0.752697 0.752917 0.753136 0.753355
13.3 0.753574 0.753793 0.754012 0.754230 0.754449 0.754667 0.754885 0.755103 0.755321 0.755538
13.4 0.755755 0.755973 0.756190 0.756407 0.756623 0.756840 0.757056 0.757273 0.757489 0.757705
13.5 0.757921 0.758136 0.758352 0.758567 0.758782 0.758997 0.759212 0.759427 0.759641 0.759856
13.6 0.760070 0.760284 0.760498 0.760711 0.760925 0.761138 0.761352 0.761565 0.761778 0.761991
13.7 0.762203 0.762416 0.762628 0.762840 0.763052 0.763264 0.763476 0.763687 0.763899 0.764110
13.8 0.764321 0.764532 0.764743 0.764953 0.765164 0.765374 0.765584 0.765794 0.766004 0.766214
13.9 0.766424 0.766633 0.766842 0.767051 0.767260 0.767469 0.767678 0.767886 0.768095 0.768303
Logarithm Table for base 31 — N = 14.00–14.99
N.i 0 1 2 3 4 5 6 7 8 9
14.0 0.768511 0.768719 0.768927 0.769134 0.769342 0.769549 0.769756 0.769964 0.770170 0.770377
14.1 0.770584 0.770790 0.770997 0.771203 0.771409 0.771615 0.771820 0.772026 0.772231 0.772437
14.2 0.772642 0.772847 0.773052 0.773256 0.773461 0.773665 0.773870 0.774074 0.774278 0.774482
14.3 0.774685 0.774889 0.775092 0.775296 0.775499 0.775702 0.775905 0.776107 0.776310 0.776512
14.4 0.776715 0.776917 0.777119 0.777321 0.777522 0.777724 0.777926 0.778127 0.778328 0.778529
14.5 0.778730 0.778931 0.779131 0.779332 0.779532 0.779732 0.779932 0.780132 0.780332 0.780532
14.6 0.780731 0.780931 0.781130 0.781329 0.781528 0.781727 0.781926 0.782124 0.782323 0.782521
14.7 0.782719 0.782917 0.783115 0.783313 0.783510 0.783708 0.783905 0.784103 0.784300 0.784497
14.8 0.784693 0.784890 0.785087 0.785283 0.785479 0.785676 0.785872 0.786068 0.786263 0.786459
14.9 0.786654 0.786850 0.787045 0.787240 0.787435 0.787630 0.787825 0.788019 0.788214 0.788408
Logarithm Table for base 31 — N = 15.00–15.99
N.i 0 1 2 3 4 5 6 7 8 9
15.0 0.788602 0.788796 0.788990 0.789184 0.789378 0.789571 0.789765 0.789958 0.790151 0.790344
15.1 0.790537 0.790730 0.790923 0.791115 0.791308 0.791500 0.791692 0.791884 0.792076 0.792268
15.2 0.792459 0.792651 0.792842 0.793034 0.793225 0.793416 0.793607 0.793797 0.793988 0.794179
15.3 0.794369 0.794559 0.794749 0.794939 0.795129 0.795319 0.795509 0.795698 0.795888 0.796077
15.4 0.796266 0.796455 0.796644 0.796833 0.797021 0.797210 0.797398 0.797587 0.797775 0.797963
15.5 0.798151 0.798339 0.798526 0.798714 0.798901 0.799089 0.799276 0.799463 0.799650 0.799837
15.6 0.800024 0.800210 0.800397 0.800583 0.800769 0.800955 0.801142 0.801327 0.801513 0.801699
15.7 0.801884 0.802070 0.802255 0.802440 0.802625 0.802810 0.802995 0.803180 0.803364 0.803549
15.8 0.803733 0.803918 0.804102 0.804286 0.804470 0.804653 0.804837 0.805021 0.805204 0.805387
15.9 0.805571 0.805754 0.805937 0.806120 0.806302 0.806485 0.806667 0.806850 0.807032 0.807214
Logarithm Table for base 31 — N = 16.00–16.99
N.i 0 1 2 3 4 5 6 7 8 9
16.0 0.807396 0.807578 0.807760 0.807942 0.808123 0.808305 0.808486 0.808668 0.808849 0.809030
16.1 0.809211 0.809392 0.809572 0.809753 0.809933 0.810114 0.810294 0.810474 0.810654 0.810834
16.2 0.811014 0.811194 0.811373 0.811553 0.811732 0.811911 0.812090 0.812269 0.812448 0.812627
16.3 0.812806 0.812985 0.813163 0.813341 0.813520 0.813698 0.813876 0.814054 0.814232 0.814409
16.4 0.814587 0.814765 0.814942 0.815119 0.815296 0.815473 0.815650 0.815827 0.816004 0.816181
16.5 0.816357 0.816534 0.816710 0.816886 0.817062 0.817238 0.817414 0.817590 0.817766 0.817941
16.6 0.818117 0.818292 0.818467 0.818643 0.818818 0.818993 0.819167 0.819342 0.819517 0.819691
16.7 0.819866 0.820040 0.820214 0.820388 0.820562 0.820736 0.820910 0.821084 0.821257 0.821431
16.8 0.821604 0.821778 0.821951 0.822124 0.822297 0.822470 0.822643 0.822815 0.822988 0.823160
16.9 0.823333 0.823505 0.823677 0.823849 0.824021 0.824193 0.824365 0.824536 0.824708 0.824879
Logarithm Table for base 31 — N = 17.00–17.99
N.i 0 1 2 3 4 5 6 7 8 9
17.0 0.825051 0.825222 0.825393 0.825564 0.825735 0.825906 0.826077 0.826247 0.826418 0.826588
17.1 0.826759 0.826929 0.827099 0.827269 0.827439 0.827609 0.827779 0.827948 0.828118 0.828287
17.2 0.828457 0.828626 0.828795 0.828964 0.829133 0.829302 0.829471 0.829639 0.829808 0.829976
17.3 0.830145 0.830313 0.830481 0.830649 0.830817 0.830985 0.831153 0.831321 0.831488 0.831656
17.4 0.831823 0.831991 0.832158 0.832325 0.832492 0.832659 0.832826 0.832992 0.833159 0.833326
17.5 0.833492 0.833658 0.833825 0.833991 0.834157 0.834323 0.834489 0.834655 0.834820 0.834986
17.6 0.835151 0.835317 0.835482 0.835647 0.835812 0.835977 0.836142 0.836307 0.836472 0.836637
17.7 0.836801 0.836966 0.837130 0.837294 0.837459 0.837623 0.837787 0.837951 0.838114 0.838278
17.8 0.838442 0.838605 0.838769 0.838932 0.839095 0.839259 0.839422 0.839585 0.839748 0.839910
17.9 0.840073 0.840236 0.840398 0.840561 0.840723 0.840886 0.841048 0.841210 0.841372 0.841534
Logarithm Table for base 31 — N = 18.00–18.99
N.i 0 1 2 3 4 5 6 7 8 9
18.0 0.841696 0.841857 0.842019 0.842180 0.842342 0.842503 0.842665 0.842826 0.842987 0.843148
18.1 0.843309 0.843470 0.843630 0.843791 0.843952 0.844112 0.844273 0.844433 0.844593 0.844753
18.2 0.844913 0.845073 0.845233 0.845393 0.845553 0.845712 0.845872 0.846031 0.846191 0.846350
18.3 0.846509 0.846668 0.846827 0.846986 0.847145 0.847304 0.847462 0.847621 0.847779 0.847938
18.4 0.848096 0.848254 0.848412 0.848570 0.848728 0.848886 0.849044 0.849202 0.849359 0.849517
18.5 0.849674 0.849832 0.849989 0.850146 0.850303 0.850460 0.850617 0.850774 0.850931 0.851088
18.6 0.851244 0.851401 0.851557 0.851713 0.851870 0.852026 0.852182 0.852338 0.852494 0.852650
18.7 0.852806 0.852961 0.853117 0.853272 0.853428 0.853583 0.853738 0.853894 0.854049 0.854204
18.8 0.854359 0.854514 0.854668 0.854823 0.854978 0.855132 0.855287 0.855441 0.855595 0.855749
18.9 0.855904 0.856058 0.856212 0.856365 0.856519 0.856673 0.856827 0.856980 0.857134 0.857287
Logarithm Table for base 31 — N = 19.00–19.99
N.i 0 1 2 3 4 5 6 7 8 9
19.0 0.857440 0.857594 0.857747 0.857900 0.858053 0.858206 0.858358 0.858511 0.858664 0.858816
19.1 0.858969 0.859121 0.859274 0.859426 0.859578 0.859730 0.859882 0.860034 0.860186 0.860338
19.2 0.860490 0.860641 0.860793 0.860944 0.861096 0.861247 0.861398 0.861549 0.861700 0.861851
19.3 0.862002 0.862153 0.862304 0.862455 0.862605 0.862756 0.862906 0.863057 0.863207 0.863357
19.4 0.863507 0.863657 0.863807 0.863957 0.864107 0.864257 0.864407 0.864556 0.864706 0.864855
19.5 0.865005 0.865154 0.865303 0.865452 0.865601 0.865750 0.865899 0.866048 0.866197 0.866345
19.6 0.866494 0.866643 0.866791 0.866939 0.867088 0.867236 0.867384 0.867532 0.867680 0.867828
19.7 0.867976 0.868124 0.868272 0.868419 0.868567 0.868714 0.868862 0.869009 0.869156 0.869303
19.8 0.869451 0.869598 0.869745 0.869891 0.870038 0.870185 0.870332 0.870478 0.870625 0.870771
19.9 0.870918 0.871064 0.871210 0.871356 0.871502 0.871648 0.871794 0.871940 0.872086 0.872232
Logarithm Table for base 31 — N = 20.00–20.99
N.i 0 1 2 3 4 5 6 7 8 9
20.0 0.872377 0.872523 0.872668 0.872814 0.872959 0.873104 0.873250 0.873395 0.873540 0.873685
20.1 0.873830 0.873974 0.874119 0.874264 0.874409 0.874553 0.874698 0.874842 0.874986 0.875131
20.2 0.875275 0.875419 0.875563 0.875707 0.875851 0.875995 0.876139 0.876282 0.876426 0.876569
20.3 0.876713 0.876856 0.877000 0.877143 0.877286 0.877429 0.877572 0.877715 0.877858 0.878001
20.4 0.878144 0.878287 0.878429 0.878572 0.878714 0.878857 0.878999 0.879141 0.879284 0.879426
20.5 0.879568 0.879710 0.879852 0.879994 0.880136 0.880277 0.880419 0.880561 0.880702 0.880844
20.6 0.880985 0.881126 0.881268 0.881409 0.881550 0.881691 0.881832 0.881973 0.882114 0.882254
20.7 0.882395 0.882536 0.882676 0.882817 0.882957 0.883098 0.883238 0.883378 0.883518 0.883659
20.8 0.883799 0.883939 0.884078 0.884218 0.884358 0.884498 0.884637 0.884777 0.884916 0.885056
20.9 0.885195 0.885335 0.885474 0.885613 0.885752 0.885891 0.886030 0.886169 0.886308 0.886447
Logarithm Table for base 31 — N = 21.00–21.99
N.i 0 1 2 3 4 5 6 7 8 9
21.0 0.886585 0.886724 0.886862 0.887001 0.887139 0.887278 0.887416 0.887554 0.887693 0.887831
21.1 0.887969 0.888107 0.888245 0.888382 0.888520 0.888658 0.888796 0.888933 0.889071 0.889208
21.2 0.889346 0.889483 0.889620 0.889757 0.889894 0.890032 0.890169 0.890305 0.890442 0.890579
21.3 0.890716 0.890853 0.890989 0.891126 0.891262 0.891399 0.891535 0.891671 0.891808 0.891944
21.4 0.892080 0.892216 0.892352 0.892488 0.892624 0.892759 0.892895 0.893031 0.893166 0.893302
21.5 0.893437 0.893573 0.893708 0.893844 0.893979 0.894114 0.894249 0.894384 0.894519 0.894654
21.6 0.894789 0.894924 0.895058 0.895193 0.895328 0.895462 0.895597 0.895731 0.895865 0.896000
21.7 0.896134 0.896268 0.896402 0.896536 0.896670 0.896804 0.896938 0.897072 0.897205 0.897339
21.8 0.897473 0.897606 0.897740 0.897873 0.898007 0.898140 0.898273 0.898406 0.898539 0.898673
21.9 0.898806 0.898938 0.899071 0.899204 0.899337 0.899470 0.899602 0.899735 0.899867 0.900000
Logarithm Table for base 31 — N = 22.00–22.99
N.i 0 1 2 3 4 5 6 7 8 9
22.0 0.900132 0.900265 0.900397 0.900529 0.900661 0.900793 0.900925 0.901057 0.901189 0.901321
22.1 0.901453 0.901585 0.901716 0.901848 0.901979 0.902111 0.902242 0.902374 0.902505 0.902636
22.2 0.902768 0.902899 0.903030 0.903161 0.903292 0.903423 0.903554 0.903684 0.903815 0.903946
22.3 0.904076 0.904207 0.904337 0.904468 0.904598 0.904729 0.904859 0.904989 0.905119 0.905249
22.4 0.905379 0.905509 0.905639 0.905769 0.905899 0.906029 0.906158 0.906288 0.906417 0.906547
22.5 0.906676 0.906806 0.906935 0.907064 0.907194 0.907323 0.907452 0.907581 0.907710 0.907839
22.6 0.907968 0.908097 0.908225 0.908354 0.908483 0.908611 0.908740 0.908868 0.908997 0.909125
22.7 0.909254 0.909382 0.909510 0.909638 0.909766 0.909894 0.910022 0.910150 0.910278 0.910406
22.8 0.910534 0.910661 0.910789 0.910916 0.911044 0.911171 0.911299 0.911426 0.911554 0.911681
22.9 0.911808 0.911935 0.912062 0.912189 0.912316 0.912443 0.912570 0.912697 0.912824 0.912950
Logarithm Table for base 31 — N = 23.00–23.99
N.i 0 1 2 3 4 5 6 7 8 9
23.0 0.913077 0.913203 0.913330 0.913456 0.913583 0.913709 0.913836 0.913962 0.914088 0.914214
23.1 0.914340 0.914466 0.914592 0.914718 0.914844 0.914970 0.915096 0.915221 0.915347 0.915473
23.2 0.915598 0.915724 0.915849 0.915974 0.916100 0.916225 0.916350 0.916475 0.916601 0.916726
23.3 0.916851 0.916976 0.917100 0.917225 0.917350 0.917475 0.917600 0.917724 0.917849 0.917973
23.4 0.918098 0.918222 0.918347 0.918471 0.918595 0.918719 0.918844 0.918968 0.919092 0.919216
23.5 0.919340 0.919463 0.919587 0.919711 0.919835 0.919959 0.920082 0.920206 0.920329 0.920453
23.6 0.920576 0.920700 0.920823 0.920946 0.921069 0.921192 0.921316 0.921439 0.921562 0.921685
23.7 0.921807 0.921930 0.922053 0.922176 0.922299 0.922421 0.922544 0.922666 0.922789 0.922911
23.8 0.923034 0.923156 0.923278 0.923400 0.923523 0.923645 0.923767 0.923889 0.924011 0.924133
23.9 0.924255 0.924376 0.924498 0.924620 0.924742 0.924863 0.924985 0.925106 0.925228 0.925349
Logarithm Table for base 31 — N = 24.00–24.99
N.i 0 1 2 3 4 5 6 7 8 9
24.0 0.925470 0.925592 0.925713 0.925834 0.925955 0.926077 0.926198 0.926319 0.926440 0.926560
24.1 0.926681 0.926802 0.926923 0.927044 0.927164 0.927285 0.927405 0.927526 0.927646 0.927767
24.2 0.927887 0.928007 0.928128 0.928248 0.928368 0.928488 0.928608 0.928728 0.928848 0.928968
24.3 0.929088 0.929208 0.929328 0.929447 0.929567 0.929687 0.929806 0.929926 0.930045 0.930165
24.4 0.930284 0.930403 0.930523 0.930642 0.930761 0.930880 0.930999 0.931118 0.931237 0.931356
24.5 0.931475 0.931594 0.931713 0.931831 0.931950 0.932069 0.932187 0.932306 0.932424 0.932543
24.6 0.932661 0.932779 0.932898 0.933016 0.933134 0.933252 0.933371 0.933489 0.933607 0.933725
24.7 0.933843 0.933960 0.934078 0.934196 0.934314 0.934431 0.934549 0.934667 0.934784 0.934902
24.8 0.935019 0.935137 0.935254 0.935371 0.935488 0.935606 0.935723 0.935840 0.935957 0.936074
24.9 0.936191 0.936308 0.936425 0.936542 0.936658 0.936775 0.936892 0.937008 0.937125 0.937242
Logarithm Table for base 31 — N = 25.00–25.99
N.i 0 1 2 3 4 5 6 7 8 9
25.0 0.937358 0.937475 0.937591 0.937707 0.937824 0.937940 0.938056 0.938172 0.938289 0.938405
25.1 0.938521 0.938637 0.938753 0.938868 0.938984 0.939100 0.939216 0.939332 0.939447 0.939563
25.2 0.939679 0.939794 0.939910 0.940025 0.940140 0.940256 0.940371 0.940486 0.940602 0.940717
25.3 0.940832 0.940947 0.941062 0.941177 0.941292 0.941407 0.941522 0.941636 0.941751 0.941866
25.4 0.941981 0.942095 0.942210 0.942324 0.942439 0.942553 0.942668 0.942782 0.942896 0.943011
25.5 0.943125 0.943239 0.943353 0.943467 0.943581 0.943695 0.943809 0.943923 0.944037 0.944151
25.6 0.944265 0.944378 0.944492 0.944606 0.944719 0.944833 0.944946 0.945060 0.945173 0.945287
25.7 0.945400 0.945513 0.945626 0.945740 0.945853 0.945966 0.946079 0.946192 0.946305 0.946418
25.8 0.946531 0.946644 0.946756 0.946869 0.946982 0.947095 0.947207 0.947320 0.947432 0.947545
25.9 0.947657 0.947770 0.947882 0.947994 0.948107 0.948219 0.948331 0.948443 0.948555 0.948667
Logarithm Table for base 31 — N = 26.00–26.99
N.i 0 1 2 3 4 5 6 7 8 9
26.0 0.948779 0.948891 0.949003 0.949115 0.949227 0.949339 0.949451 0.949562 0.949674 0.949786
26.1 0.949897 0.950009 0.950120 0.950232 0.950343 0.950455 0.950566 0.950677 0.950789 0.950900
26.2 0.951011 0.951122 0.951233 0.951344 0.951455 0.951566 0.951677 0.951788 0.951899 0.952010
26.3 0.952120 0.952231 0.952342 0.952452 0.952563 0.952673 0.952784 0.952894 0.953005 0.953115
26.4 0.953225 0.953336 0.953446 0.953556 0.953666 0.953776 0.953887 0.953997 0.954107 0.954217
26.5 0.954326 0.954436 0.954546 0.954656 0.954766 0.954875 0.954985 0.955095 0.955204 0.955314
26.6 0.955423 0.955533 0.955642 0.955751 0.955861 0.955970 0.956079 0.956189 0.956298 0.956407
26.7 0.956516 0.956625 0.956734 0.956843 0.956952 0.957061 0.957170 0.957278 0.957387 0.957496
26.8 0.957605 0.957713 0.957822 0.957930 0.958039 0.958147 0.958256 0.958364 0.958473 0.958581
26.9 0.958689 0.958797 0.958906 0.959014 0.959122 0.959230 0.959338 0.959446 0.959554 0.959662
Logarithm Table for base 31 — N = 27.00–27.99
N.i 0 1 2 3 4 5 6 7 8 9
27.0 0.959770 0.959878 0.959985 0.960093 0.960201 0.960308 0.960416 0.960524 0.960631 0.960739
27.1 0.960846 0.960954 0.961061 0.961168 0.961276 0.961383 0.961490 0.961597 0.961705 0.961812
27.2 0.961919 0.962026 0.962133 0.962240 0.962347 0.962454 0.962560 0.962667 0.962774 0.962881
27.3 0.962987 0.963094 0.963201 0.963307 0.963414 0.963520 0.963627 0.963733 0.963840 0.963946
27.4 0.964052 0.964158 0.964265 0.964371 0.964477 0.964583 0.964689 0.964795 0.964901 0.965007
27.5 0.965113 0.965219 0.965325 0.965431 0.965536 0.965642 0.965748 0.965853 0.965959 0.966065
27.6 0.966170 0.966276 0.966381 0.966486 0.966592 0.966697 0.966802 0.966908 0.967013 0.967118
27.7 0.967223 0.967328 0.967433 0.967539 0.967644 0.967748 0.967853 0.967958 0.968063 0.968168
27.8 0.968273 0.968377 0.968482 0.968587 0.968691 0.968796 0.968901 0.969005 0.969109 0.969214
27.9 0.969318 0.969423 0.969527 0.969631 0.969736 0.969840 0.969944 0.970048 0.970152 0.970256
Logarithm Table for base 31 — N = 28.00–28.99
N.i 0 1 2 3 4 5 6 7 8 9
28.0 0.970360 0.970464 0.970568 0.970672 0.970776 0.970880 0.970984 0.971087 0.971191 0.971295
28.1 0.971398 0.971502 0.971606 0.971709 0.971813 0.971916 0.972020 0.972123 0.972226 0.972330
28.2 0.972433 0.972536 0.972639 0.972742 0.972846 0.972949 0.973052 0.973155 0.973258 0.973361
28.3 0.973464 0.973567 0.973669 0.973772 0.973875 0.973978 0.974080 0.974183 0.974286 0.974388
28.4 0.974491 0.974593 0.974696 0.974798 0.974901 0.975003 0.975105 0.975208 0.975310 0.975412
28.5 0.975514 0.975617 0.975719 0.975821 0.975923 0.976025 0.976127 0.976229 0.976331 0.976433
28.6 0.976534 0.976636 0.976738 0.976840 0.976941 0.977043 0.977145 0.977246 0.977348 0.977449
28.7 0.977551 0.977652 0.977754 0.977855 0.977956 0.978058 0.978159 0.978260 0.978361 0.978463
28.8 0.978564 0.978665 0.978766 0.978867 0.978968 0.979069 0.979170 0.979271 0.979372 0.979472
28.9 0.979573 0.979674 0.979775 0.979875 0.979976 0.980077 0.980177 0.980278 0.980378 0.980479
Logarithm Table for base 31 — N = 29.00–29.99
N.i 0 1 2 3 4 5 6 7 8 9
29.0 0.980579 0.980679 0.980780 0.980880 0.980980 0.981081 0.981181 0.981281 0.981381 0.981481
29.1 0.981581 0.981682 0.981782 0.981882 0.981981 0.982081 0.982181 0.982281 0.982381 0.982481
29.2 0.982580 0.982680 0.982780 0.982879 0.982979 0.983079 0.983178 0.983278 0.983377 0.983477
29.3 0.983576 0.983675 0.983775 0.983874 0.983973 0.984073 0.984172 0.984271 0.984370 0.984469
29.4 0.984568 0.984667 0.984766 0.984865 0.984964 0.985063 0.985162 0.985261 0.985360 0.985458
29.5 0.985557 0.985656 0.985754 0.985853 0.985952 0.986050 0.986149 0.986247 0.986346 0.986444
29.6 0.986543 0.986641 0.986739 0.986838 0.986936 0.987034 0.987132 0.987230 0.987328 0.987427
29.7 0.987525 0.987623 0.987721 0.987819 0.987917 0.988014 0.988112 0.988210 0.988308 0.988406
29.8 0.988504 0.988601 0.988699 0.988797 0.988894 0.988992 0.989089 0.989187 0.989284 0.989382
29.9 0.989479 0.989576 0.989674 0.989771 0.989868 0.989966 0.990063 0.990160 0.990257 0.990354
Logarithm Table for base 31 — N = 30.00–30.99
N.i 0 1 2 3 4 5 6 7 8 9
30.0 0.990451 0.990548 0.990645 0.990742 0.990839 0.990936 0.991033 0.991130 0.991227 0.991324
30.1 0.991420 0.991517 0.991614 0.991711 0.991807 0.991904 0.992000 0.992097 0.992193 0.992290
30.2 0.992386 0.992483 0.992579 0.992675 0.992772 0.992868 0.992964 0.993061 0.993157 0.993253
30.3 0.993349 0.993445 0.993541 0.993637 0.993733 0.993829 0.993925 0.994021 0.994117 0.994213
30.4 0.994308 0.994404 0.994500 0.994596 0.994691 0.994787 0.994883 0.994978 0.995074 0.995169
30.5 0.995265 0.995360 0.995456 0.995551 0.995646 0.995742 0.995837 0.995932 0.996028 0.996123
30.6 0.996218 0.996313 0.996408 0.996503 0.996598 0.996693 0.996788 0.996883 0.996978 0.997073
30.7 0.997168 0.997263 0.997358 0.997453 0.997547 0.997642 0.997737 0.997831 0.997926 0.998021
30.8 0.998115 0.998210 0.998304 0.998399 0.998493 0.998588 0.998682 0.998776 0.998871 0.998965
30.9 0.999059 0.999153 0.999248 0.999342 0.999436 0.999530 0.999624 0.999718 0.999812 0.999906
Logarithm Table for base 31 — N = 31.00–31.99
N.i 0 1 2 3 4 5 6 7 8 9
31.0 1.000000 1.000094 1.000188 1.000282 1.000376 1.000469 1.000563 1.000657 1.000751 1.000844
31.1 1.000938 1.001031 1.001125 1.001219 1.001312 1.001406 1.001499 1.001593 1.001686 1.001779
31.2 1.001873 1.001966 1.002059 1.002153 1.002246 1.002339 1.002432 1.002525 1.002618 1.002712
31.3 1.002805 1.002898 1.002991 1.003084 1.003176 1.003269 1.003362 1.003455 1.003548 1.003641
31.4 1.003733 1.003826 1.003919 1.004012 1.004104 1.004197 1.004289 1.004382 1.004474 1.004567
31.5 1.004659 1.004752 1.004844 1.004937 1.005029 1.005121 1.005214 1.005306 1.005398 1.005490
31.6 1.005582 1.005675 1.005767 1.005859 1.005951 1.006043 1.006135 1.006227 1.006319 1.006411
31.7 1.006502 1.006594 1.006686 1.006778 1.006870 1.006961 1.007053 1.007145 1.007236 1.007328
31.8 1.007420 1.007511 1.007603 1.007694 1.007786 1.007877 1.007969 1.008060 1.008151 1.008243
31.9 1.008334 1.008425 1.008517 1.008608 1.008699 1.008790 1.008881 1.008972 1.009063 1.009154
Logarithm Table for base 31 — N = 32.00–32.99
N.i 0 1 2 3 4 5 6 7 8 9
32.0 1.009245 1.009336 1.009427 1.009518 1.009609 1.009700 1.009791 1.009882 1.009973 1.010063
32.1 1.010154 1.010245 1.010335 1.010426 1.010517 1.010607 1.010698 1.010788 1.010879 1.010969
32.2 1.011060 1.011150 1.011241 1.011331 1.011421 1.011512 1.011602 1.011692 1.011782 1.011873
32.3 1.011963 1.012053 1.012143 1.012233 1.012323 1.012413 1.012503 1.012593 1.012683 1.012773
32.4 1.012863 1.012953 1.013043 1.013132 1.013222 1.013312 1.013402 1.013491 1.013581 1.013671
32.5 1.013760 1.013850 1.013940 1.014029 1.014119 1.014208 1.014297 1.014387 1.014476 1.014566
32.6 1.014655 1.014744 1.014834 1.014923 1.015012 1.015101 1.015190 1.015280 1.015369 1.015458
32.7 1.015547 1.015636 1.015725 1.015814 1.015903 1.015992 1.016081 1.016170 1.016258 1.016347
32.8 1.016436 1.016525 1.016614 1.016702 1.016791 1.016880 1.016968 1.017057 1.017145 1.017234
32.9 1.017323 1.017411 1.017500 1.017588 1.017676 1.017765 1.017853 1.017941 1.018030 1.018118
Logarithm Table for base 31 — N = 33.00–33.99
N.i 0 1 2 3 4 5 6 7 8 9
33.0 1.018206 1.018295 1.018383 1.018471 1.018559 1.018647 1.018735 1.018823 1.018911 1.018999
33.1 1.019087 1.019175 1.019263 1.019351 1.019439 1.019527 1.019615 1.019703 1.019790 1.019878
33.2 1.019966 1.020054 1.020141 1.020229 1.020317 1.020404 1.020492 1.020579 1.020667 1.020754
33.3 1.020842 1.020929 1.021017 1.021104 1.021191 1.021279 1.021366 1.021453 1.021540 1.021628
33.4 1.021715 1.021802 1.021889 1.021976 1.022063 1.022151 1.022238 1.022325 1.022412 1.022499
33.5 1.022585 1.022672 1.022759 1.022846 1.022933 1.023020 1.023107 1.023193 1.023280 1.023367
33.6 1.023453 1.023540 1.023627 1.023713 1.023800 1.023886 1.023973 1.024060 1.024146 1.024232
33.7 1.024319 1.024405 1.024492 1.024578 1.024664 1.024751 1.024837 1.024923 1.025009 1.025096
33.8 1.025182 1.025268 1.025354 1.025440 1.025526 1.025612 1.025698 1.025784 1.025870 1.025956
33.9 1.026042 1.026128 1.026214 1.026300 1.026385 1.026471 1.026557 1.026643 1.026728 1.026814
Logarithm Table for base 31 — N = 34.00–34.99
N.i 0 1 2 3 4 5 6 7 8 9
34.0 1.026900 1.026985 1.027071 1.027157 1.027242 1.027328 1.027413 1.027499 1.027584 1.027670
34.1 1.027755 1.027840 1.027926 1.028011 1.028096 1.028182 1.028267 1.028352 1.028437 1.028523
34.2 1.028608 1.028693 1.028778 1.028863 1.028948 1.029033 1.029118 1.029203 1.029288 1.029373
34.3 1.029458 1.029543 1.029628 1.029713 1.029797 1.029882 1.029967 1.030052 1.030136 1.030221
34.4 1.030306 1.030390 1.030475 1.030560 1.030644 1.030729 1.030813 1.030898 1.030982 1.031067
34.5 1.031151 1.031235 1.031320 1.031404 1.031488 1.031573 1.031657 1.031741 1.031825 1.031910
34.6 1.031994 1.032078 1.032162 1.032246 1.032330 1.032414 1.032498 1.032582 1.032666 1.032750
34.7 1.032834 1.032918 1.033002 1.033086 1.033170 1.033254 1.033337 1.033421 1.033505 1.033589
34.8 1.033672 1.033756 1.033840 1.033923 1.034007 1.034090 1.034174 1.034257 1.034341 1.034424
34.9 1.034508 1.034591 1.034675 1.034758 1.034841 1.034925 1.035008 1.035091 1.035175 1.035258
Logarithm Table for base 31 — N = 35.00–35.99
N.i 0 1 2 3 4 5 6 7 8 9
35.0 1.035341 1.035424 1.035507 1.035591 1.035674 1.035757 1.035840 1.035923 1.036006 1.036089
35.1 1.036172 1.036255 1.036338 1.036421 1.036504 1.036586 1.036669 1.036752 1.036835 1.036918
35.2 1.037000 1.037083 1.037166 1.037248 1.037331 1.037414 1.037496 1.037579 1.037661 1.037744
35.3 1.037827 1.037909 1.037991 1.038074 1.038156 1.038239 1.038321 1.038403 1.038486 1.038568
35.4 1.038650 1.038733 1.038815 1.038897 1.038979 1.039061 1.039143 1.039226 1.039308 1.039390
35.5 1.039472 1.039554 1.039636 1.039718 1.039800 1.039882 1.039964 1.040045 1.040127 1.040209
35.6 1.040291 1.040373 1.040454 1.040536 1.040618 1.040700 1.040781 1.040863 1.040945 1.041026
35.7 1.041108 1.041189 1.041271 1.041352 1.041434 1.041515 1.041597 1.041678 1.041760 1.041841
35.8 1.041922 1.042004 1.042085 1.042166 1.042248 1.042329 1.042410 1.042491 1.042572 1.042653
35.9 1.042735 1.042816 1.042897 1.042978 1.043059 1.043140 1.043221 1.043302 1.043383 1.043464
Logarithm Table for base 31 — N = 36.00–36.99
N.i 0 1 2 3 4 5 6 7 8 9
36.0 1.043545 1.043626 1.043706 1.043787 1.043868 1.043949 1.044030 1.044110 1.044191 1.044272
36.1 1.044352 1.044433 1.044514 1.044594 1.044675 1.044755 1.044836 1.044917 1.044997 1.045078
36.2 1.045158 1.045238 1.045319 1.045399 1.045480 1.045560 1.045640 1.045721 1.045801 1.045881
36.3 1.045961 1.046042 1.046122 1.046202 1.046282 1.046362 1.046442 1.046522 1.046602 1.046682
36.4 1.046762 1.046842 1.046922 1.047002 1.047082 1.047162 1.047242 1.047322 1.047402 1.047482
36.5 1.047561 1.047641 1.047721 1.047801 1.047880 1.047960 1.048040 1.048119 1.048199 1.048279
36.6 1.048358 1.048438 1.048517 1.048597 1.048676 1.048756 1.048835 1.048915 1.048994 1.049073
36.7 1.049153 1.049232 1.049311 1.049391 1.049470 1.049549 1.049628 1.049708 1.049787 1.049866
36.8 1.049945 1.050024 1.050103 1.050182 1.050261 1.050340 1.050419 1.050498 1.050577 1.050656
36.9 1.050735 1.050814 1.050893 1.050972 1.051051 1.051130 1.051208 1.051287 1.051366 1.051445
Logarithm Table for base 31 — N = 37.00–37.99
N.i 0 1 2 3 4 5 6 7 8 9
37.0 1.051523 1.051602 1.051681 1.051759 1.051838 1.051917 1.051995 1.052074 1.052152 1.052231
37.1 1.052309 1.052388 1.052466 1.052545 1.052623 1.052702 1.052780 1.052858 1.052937 1.053015
37.2 1.053093 1.053172 1.053250 1.053328 1.053406 1.053484 1.053563 1.053641 1.053719 1.053797
37.3 1.053875 1.053953 1.054031 1.054109 1.054187 1.054265 1.054343 1.054421 1.054499 1.054577
37.4 1.054655 1.054733 1.054810 1.054888 1.054966 1.055044 1.055121 1.055199 1.055277 1.055355
37.5 1.055432 1.055510 1.055588 1.055665 1.055743 1.055820 1.055898 1.055975 1.056053 1.056130
37.6 1.056208 1.056285 1.056363 1.056440 1.056517 1.056595 1.056672 1.056749 1.056827 1.056904
37.7 1.056981 1.057058 1.057136 1.057213 1.057290 1.057367 1.057444 1.057521 1.057599 1.057676
37.8 1.057753 1.057830 1.057907 1.057984 1.058061 1.058138 1.058215 1.058291 1.058368 1.058445
37.9 1.058522 1.058599 1.058676 1.058752 1.058829 1.058906 1.058983 1.059059 1.059136 1.059213
Logarithm Table for base 31 — N = 38.00–38.99
N.i 0 1 2 3 4 5 6 7 8 9
38.0 1.059289 1.059366 1.059443 1.059519 1.059596 1.059672 1.059749 1.059825 1.059902 1.059978
38.1 1.060055 1.060131 1.060208 1.060284 1.060360 1.060437 1.060513 1.060589 1.060666 1.060742
38.2 1.060818 1.060894 1.060970 1.061047 1.061123 1.061199 1.061275 1.061351 1.061427 1.061503
38.3 1.061579 1.061655 1.061731 1.061807 1.061883 1.061959 1.062035 1.062111 1.062187 1.062263
38.4 1.062339 1.062415 1.062490 1.062566 1.062642 1.062718 1.062793 1.062869 1.062945 1.063020
38.5 1.063096 1.063172 1.063247 1.063323 1.063398 1.063474 1.063550 1.063625 1.063701 1.063776
38.6 1.063851 1.063927 1.064002 1.064078 1.064153 1.064228 1.064304 1.064379 1.064454 1.064530
38.7 1.064605 1.064680 1.064755 1.064831 1.064906 1.064981 1.065056 1.065131 1.065206 1.065281
38.8 1.065356 1.065431 1.065506 1.065581 1.065656 1.065731 1.065806 1.065881 1.065956 1.066031
38.9 1.066106 1.066181 1.066256 1.066330 1.066405 1.066480 1.066555 1.066630 1.066704 1.066779
Logarithm Table for base 31 — N = 39.00–39.99
N.i 0 1 2 3 4 5 6 7 8 9
39.0 1.066854 1.066928 1.067003 1.067078 1.067152 1.067227 1.067301 1.067376 1.067450 1.067525
39.1 1.067599 1.067674 1.067748 1.067823 1.067897 1.067971 1.068046 1.068120 1.068195 1.068269
39.2 1.068343 1.068417 1.068492 1.068566 1.068640 1.068714 1.068789 1.068863 1.068937 1.069011
39.3 1.069085 1.069159 1.069233 1.069307 1.069381 1.069455 1.069529 1.069603 1.069677 1.069751
39.4 1.069825 1.069899 1.069973 1.070047 1.070121 1.070194 1.070268 1.070342 1.070416 1.070490
39.5 1.070563 1.070637 1.070711 1.070784 1.070858 1.070932 1.071005 1.071079 1.071152 1.071226
39.6 1.071300 1.071373 1.071447 1.071520 1.071594 1.071667 1.071740 1.071814 1.071887 1.071961
39.7 1.072034 1.072107 1.072181 1.072254 1.072327 1.072401 1.072474 1.072547 1.072620 1.072693
39.8 1.072767 1.072840 1.072913 1.072986 1.073059 1.073132 1.073205 1.073278 1.073351 1.073424
39.9 1.073497 1.073570 1.073643 1.073716 1.073789 1.073862 1.073935 1.074008 1.074081 1.074154
Logarithm Table for base 31 — N = 40.00–40.99
N.i 0 1 2 3 4 5 6 7 8 9
40.0 1.074226 1.074299 1.074372 1.074445 1.074517 1.074590 1.074663 1.074735 1.074808 1.074881
40.1 1.074953 1.075026 1.075099 1.075171 1.075244 1.075316 1.075389 1.075461 1.075534 1.075606
40.2 1.075679 1.075751 1.075824 1.075896 1.075968 1.076041 1.076113 1.076185 1.076258 1.076330
40.3 1.076402 1.076474 1.076547 1.076619 1.076691 1.076763 1.076835 1.076908 1.076980 1.077052
40.4 1.077124 1.077196 1.077268 1.077340 1.077412 1.077484 1.077556 1.077628 1.077700 1.077772
40.5 1.077844 1.077916 1.077988 1.078059 1.078131 1.078203 1.078275 1.078347 1.078419 1.078490
40.6 1.078562 1.078634 1.078705 1.078777 1.078849 1.078920 1.078992 1.079064 1.079135 1.079207
40.7 1.079278 1.079350 1.079421 1.079493 1.079564 1.079636 1.079707 1.079779 1.079850 1.079922
40.8 1.079993 1.080064 1.080136 1.080207 1.080278 1.080350 1.080421 1.080492 1.080563 1.080635
40.9 1.080706 1.080777 1.080848 1.080919 1.080991 1.081062 1.081133 1.081204 1.081275 1.081346
Logarithm Table for base 31 — N = 41.00–41.99
N.i 0 1 2 3 4 5 6 7 8 9
41.0 1.081417 1.081488 1.081559 1.081630 1.081701 1.081772 1.081843 1.081914 1.081985 1.082056
41.1 1.082126 1.082197 1.082268 1.082339 1.082410 1.082480 1.082551 1.082622 1.082693 1.082763
41.2 1.082834 1.082905 1.082975 1.083046 1.083117 1.083187 1.083258 1.083328 1.083399 1.083469
41.3 1.083540 1.083611 1.083681 1.083751 1.083822 1.083892 1.083963 1.084033 1.084104 1.084174
41.4 1.084244 1.084315 1.084385 1.084455 1.084525 1.084596 1.084666 1.084736 1.084806 1.084877
41.5 1.084947 1.085017 1.085087 1.085157 1.085227 1.085297 1.085368 1.085438 1.085508 1.085578
41.6 1.085648 1.085718 1.085788 1.085858 1.085928 1.085997 1.086067 1.086137 1.086207 1.086277
41.7 1.086347 1.086417 1.086486 1.086556 1.086626 1.086696 1.086766 1.086835 1.086905 1.086975
41.8 1.087044 1.087114 1.087184 1.087253 1.087323 1.087392 1.087462 1.087532 1.087601 1.087671
41.9 1.087740 1.087810 1.087879 1.087949 1.088018 1.088087 1.088157 1.088226 1.088296 1.088365
Logarithm Table for base 31 — N = 42.00–42.99
N.i 0 1 2 3 4 5 6 7 8 9
42.0 1.088434 1.088504 1.088573 1.088642 1.088712 1.088781 1.088850 1.088919 1.088988 1.089058
42.1 1.089127 1.089196 1.089265 1.089334 1.089403 1.089473 1.089542 1.089611 1.089680 1.089749
42.2 1.089818 1.089887 1.089956 1.090025 1.090094 1.090163 1.090231 1.090300 1.090369 1.090438
42.3 1.090507 1.090576 1.090645 1.090713 1.090782 1.090851 1.090920 1.090989 1.091057 1.091126
42.4 1.091195 1.091263 1.091332 1.091401 1.091469 1.091538 1.091606 1.091675 1.091744 1.091812
42.5 1.091881 1.091949 1.092018 1.092086 1.092155 1.092223 1.092291 1.092360 1.092428 1.092497
42.6 1.092565 1.092633 1.092702 1.092770 1.092838 1.092907 1.092975 1.093043 1.093111 1.093180
42.7 1.093248 1.093316 1.093384 1.093452 1.093520 1.093589 1.093657 1.093725 1.093793 1.093861
42.8 1.093929 1.093997 1.094065 1.094133 1.094201 1.094269 1.094337 1.094405 1.094473 1.094541
42.9 1.094609 1.094676 1.094744 1.094812 1.094880 1.094948 1.095016 1.095083 1.095151 1.095219
Logarithm Table for base 31 — N = 43.00–43.99
N.i 0 1 2 3 4 5 6 7 8 9
43.0 1.095287 1.095354 1.095422 1.095490 1.095557 1.095625 1.095693 1.095760 1.095828 1.095895
43.1 1.095963 1.096031 1.096098 1.096166 1.096233 1.096301 1.096368 1.096436 1.096503 1.096570
43.2 1.096638 1.096705 1.096773 1.096840 1.096907 1.096975 1.097042 1.097109 1.097177 1.097244
43.3 1.097311 1.097378 1.097446 1.097513 1.097580 1.097647 1.097714 1.097782 1.097849 1.097916
43.4 1.097983 1.098050 1.098117 1.098184 1.098251 1.098318 1.098385 1.098452 1.098519 1.098586
43.5 1.098653 1.098720 1.098787 1.098854 1.098921 1.098988 1.099055 1.099121 1.099188 1.099255
43.6 1.099322 1.099389 1.099455 1.099522 1.099589 1.099656 1.099722 1.099789 1.099856 1.099922
43.7 1.099989 1.100056 1.100122 1.100189 1.100255 1.100322 1.100389 1.100455 1.100522 1.100588
43.8 1.100655 1.100721 1.100788 1.100854 1.100920 1.100987 1.101053 1.101120 1.101186 1.101252
43.9 1.101319 1.101385 1.101451 1.101518 1.101584 1.101650 1.101716 1.101783 1.101849 1.101915
Logarithm Table for base 31 — N = 44.00–44.99
N.i 0 1 2 3 4 5 6 7 8 9
44.0 1.101981 1.102047 1.102114 1.102180 1.102246 1.102312 1.102378 1.102444 1.102510 1.102576
44.1 1.102642 1.102708 1.102774 1.102840 1.102906 1.102972 1.103038 1.103104 1.103170 1.103236
44.2 1.103302 1.103368 1.103434 1.103500 1.103565 1.103631 1.103697 1.103763 1.103829 1.103894
44.3 1.103960 1.104026 1.104091 1.104157 1.104223 1.104289 1.104354 1.104420 1.104485 1.104551
44.4 1.104617 1.104682 1.104748 1.104813 1.104879 1.104944 1.105010 1.105075 1.105141 1.105206
44.5 1.105272 1.105337 1.105403 1.105468 1.105533 1.105599 1.105664 1.105730 1.105795 1.105860
44.6 1.105925 1.105991 1.106056 1.106121 1.106187 1.106252 1.106317 1.106382 1.106447 1.106512
44.7 1.106578 1.106643 1.106708 1.106773 1.106838 1.106903 1.106968 1.107033 1.107098 1.107163
44.8 1.107228 1.107293 1.107358 1.107423 1.107488 1.107553 1.107618 1.107683 1.107748 1.107813
44.9 1.107878 1.107943 1.108007 1.108072 1.108137 1.108202 1.108267 1.108331 1.108396 1.108461
Logarithm Table for base 31 — N = 45.00–45.99
N.i 0 1 2 3 4 5 6 7 8 9
45.0 1.108526 1.108590 1.108655 1.108720 1.108784 1.108849 1.108914 1.108978 1.109043 1.109107
45.1 1.109172 1.109237 1.109301 1.109366 1.109430 1.109495 1.109559 1.109624 1.109688 1.109752
45.2 1.109817 1.109881 1.109946 1.110010 1.110075 1.110139 1.110203 1.110268 1.110332 1.110396
45.3 1.110460 1.110525 1.110589 1.110653 1.110717 1.110782 1.110846 1.110910 1.110974 1.111038
45.4 1.111103 1.111167 1.111231 1.111295 1.111359 1.111423 1.111487 1.111551 1.111615 1.111679
45.5 1.111743 1.111807 1.111871 1.111935 1.111999 1.112063 1.112127 1.112191 1.112255 1.112319
45.6 1.112383 1.112446 1.112510 1.112574 1.112638 1.112702 1.112766 1.112829 1.112893 1.112957
45.7 1.113021 1.113084 1.113148 1.113212 1.113275 1.113339 1.113403 1.113466 1.113530 1.113593
45.8 1.113657 1.113721 1.113784 1.113848 1.113911 1.113975 1.114038 1.114102 1.114165 1.114229
45.9 1.114292 1.114356 1.114419 1.114482 1.114546 1.114609 1.114673 1.114736 1.114799 1.114863
Logarithm Table for base 31 — N = 46.00–46.99
N.i 0 1 2 3 4 5 6 7 8 9
46.0 1.114926 1.114989 1.115053 1.115116 1.115179 1.115242 1.115306 1.115369 1.115432 1.115495
46.1 1.115558 1.115621 1.115685 1.115748 1.115811 1.115874 1.115937 1.116000 1.116063 1.116126
46.2 1.116189 1.116252 1.116315 1.116378 1.116441 1.116504 1.116567 1.116630 1.116693 1.116756
46.3 1.116819 1.116882 1.116945 1.117008 1.117070 1.117133 1.117196 1.117259 1.117322 1.117384
46.4 1.117447 1.117510 1.117573 1.117635 1.117698 1.117761 1.117824 1.117886 1.117949 1.118012
46.5 1.118074 1.118137 1.118199 1.118262 1.118325 1.118387 1.118450 1.118512 1.118575 1.118637
46.6 1.118700 1.118762 1.118825 1.118887 1.118950 1.119012 1.119074 1.119137 1.119199 1.119262
46.7 1.119324 1.119386 1.119449 1.119511 1.119573 1.119636 1.119698 1.119760 1.119822 1.119885
46.8 1.119947 1.120009 1.120071 1.120133 1.120196 1.120258 1.120320 1.120382 1.120444 1.120506
46.9 1.120568 1.120631 1.120693 1.120755 1.120817 1.120879 1.120941 1.121003 1.121065 1.121127
Logarithm Table for base 31 — N = 47.00–47.99
N.i 0 1 2 3 4 5 6 7 8 9
47.0 1.121189 1.121251 1.121313 1.121375 1.121436 1.121498 1.121560 1.121622 1.121684 1.121746
47.1 1.121808 1.121869 1.121931 1.121993 1.122055 1.122117 1.122178 1.122240 1.122302 1.122364
47.2 1.122425 1.122487 1.122549 1.122610 1.122672 1.122734 1.122795 1.122857 1.122918 1.122980
47.3 1.123042 1.123103 1.123165 1.123226 1.123288 1.123349 1.123411 1.123472 1.123534 1.123595
47.4 1.123657 1.123718 1.123779 1.123841 1.123902 1.123964 1.124025 1.124086 1.124148 1.124209
47.5 1.124270 1.124332 1.124393 1.124454 1.124515 1.124577 1.124638 1.124699 1.124760 1.124822
47.6 1.124883 1.124944 1.125005 1.125066 1.125127 1.125188 1.125250 1.125311 1.125372 1.125433
47.7 1.125494 1.125555 1.125616 1.125677 1.125738 1.125799 1.125860 1.125921 1.125982 1.126043
47.8 1.126104 1.126165 1.126226 1.126286 1.126347 1.126408 1.126469 1.126530 1.126591 1.126651
47.9 1.126712 1.126773 1.126834 1.126895 1.126955 1.127016 1.127077 1.127138 1.127198 1.127259
Logarithm Table for base 31 — N = 48.00–48.99
N.i 0 1 2 3 4 5 6 7 8 9
48.0 1.127320 1.127380 1.127441 1.127502 1.127562 1.127623 1.127683 1.127744 1.127805 1.127865
48.1 1.127926 1.127986 1.128047 1.128107 1.128168 1.128228 1.128289 1.128349 1.128410 1.128470
48.2 1.128530 1.128591 1.128651 1.128712 1.128772 1.128832 1.128893 1.128953 1.129013 1.129074
48.3 1.129134 1.129194 1.129255 1.129315 1.129375 1.129435 1.129495 1.129556 1.129616 1.129676
48.4 1.129736 1.129796 1.129857 1.129917 1.129977 1.130037 1.130097 1.130157 1.130217 1.130277
48.5 1.130337 1.130397 1.130457 1.130517 1.130577 1.130637 1.130697 1.130757 1.130817 1.130877
48.6 1.130937 1.130997 1.131057 1.131117 1.131177 1.131237 1.131296 1.131356 1.131416 1.131476
48.7 1.131536 1.131595 1.131655 1.131715 1.131775 1.131835 1.131894 1.131954 1.132014 1.132073
48.8 1.132133 1.132193 1.132252 1.132312 1.132372 1.132431 1.132491 1.132550 1.132610 1.132670
48.9 1.132729 1.132789 1.132848 1.132908 1.132967 1.133027 1.133086 1.133146 1.133205 1.133265
Logarithm Table for base 31 — N = 49.00–49.99
N.i 0 1 2 3 4 5 6 7 8 9
49.0 1.133324 1.133383 1.133443 1.133502 1.133562 1.133621 1.133680 1.133740 1.133799 1.133858
49.1 1.133918 1.133977 1.134036 1.134096 1.134155 1.134214 1.134273 1.134333 1.134392 1.134451
49.2 1.134510 1.134569 1.134629 1.134688 1.134747 1.134806 1.134865 1.134924 1.134983 1.135042
49.3 1.135102 1.135161 1.135220 1.135279 1.135338 1.135397 1.135456 1.135515 1.135574 1.135633
49.4 1.135692 1.135751 1.135809 1.135868 1.135927 1.135986 1.136045 1.136104 1.136163 1.136222
49.5 1.136280 1.136339 1.136398 1.136457 1.136516 1.136574 1.136633 1.136692 1.136751 1.136809
49.6 1.136868 1.136927 1.136986 1.137044 1.137103 1.137162 1.137220 1.137279 1.137338 1.137396
49.7 1.137455 1.137513 1.137572 1.137630 1.137689 1.137748 1.137806 1.137865 1.137923 1.137982
49.8 1.138040 1.138099 1.138157 1.138215 1.138274 1.138332 1.138391 1.138449 1.138507 1.138566
49.9 1.138624 1.138683 1.138741 1.138799 1.138858 1.138916 1.138974 1.139032 1.139091 1.139149
Logarithm Table for base 31 — N = 50.00–50.99
N.i 0 1 2 3 4 5 6 7 8 9
50.0 1.139207 1.139265 1.139324 1.139382 1.139440 1.139498 1.139556 1.139615 1.139673 1.139731
50.1 1.139789 1.139847 1.139905 1.139963 1.140021 1.140080 1.140138 1.140196 1.140254 1.140312
50.2 1.140370 1.140428 1.140486 1.140544 1.140602 1.140660 1.140718 1.140776 1.140833 1.140891
50.3 1.140949 1.141007 1.141065 1.141123 1.141181 1.141239 1.141296 1.141354 1.141412 1.141470
50.4 1.141528 1.141585 1.141643 1.141701 1.141759 1.141816 1.141874 1.141932 1.141989 1.142047
50.5 1.142105 1.142162 1.142220 1.142278 1.142335 1.142393 1.142451 1.142508 1.142566 1.142623
50.6 1.142681 1.142738 1.142796 1.142853 1.142911 1.142969 1.143026 1.143083 1.143141 1.143198
50.7 1.143256 1.143313 1.143371 1.143428 1.143485 1.143543 1.143600 1.143658 1.143715 1.143772
50.8 1.143830 1.143887 1.143944 1.144002 1.144059 1.144116 1.144173 1.144231 1.144288 1.144345
50.9 1.144402 1.144460 1.144517 1.144574 1.144631 1.144688 1.144745 1.144803 1.144860 1.144917

Other Bases

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