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- You need to find the natural logarithm of 2.85
- Find the row with N = 2.8
- Find the column 5, the number inside the cell is 1.51096
See How To Read Numbers in Tables.
- The result is 1.51096
| N | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 1.0 | 0 | .014355 | .028569 | .042644 | .056584 | .070389 | .084064 | .097611 | .111031 | .124328 |
| 1.1 | .137504 | .150560 | .163499 | .176323 | .189034 | .201634 | .214125 | .226509 | .238787 | .250962 |
| 1.2 | .263034 | .275007 | .286881 | .298658 | .310340 | .321928 | .333424 | .344828 | .356144 | .367371 |
| 1.3 | .378512 | .389567 | .400538 | .411426 | .422233 | .432959 | .443607 | .454176 | .464668 | .475085 |
| 1.4 | .485427 | .495695 | .505891 | .516015 | .526069 | .536053 | .545968 | .555816 | .565597 | .575312 |
| 1.5 | .584963 | .594549 | .604071 | .613532 | .622930 | .632268 | .641546 | .650765 | .659925 | .669027 |
| 1.6 | .678072 | .687061 | .695994 | .704872 | .713696 | .722466 | .731183 | .739848 | .748461 | .757023 |
| 1.7 | .765535 | .773996 | .782409 | .790772 | .799087 | .807355 | .815575 | .823749 | .831877 | .839960 |
| 1.8 | .847997 | .855990 | .863938 | .871844 | .879706 | .887525 | .895303 | .903038 | .910733 | .918386 |
| 1.9 | .925999 | .933573 | .941106 | .948601 | .956057 | .963474 | .970854 | .978196 | .985500 | .992768 |
| N | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 2.0 | 1.00000 | 1.00720 | 1.01436 | 1.02148 | 1.02857 | 1.03562 | 1.04264 | 1.04963 | 1.05658 | 1.06350 |
| 2.1 | 1.07039 | 1.07724 | 1.08406 | 1.09085 | 1.09761 | 1.10434 | 1.11103 | 1.11770 | 1.12433 | 1.13093 |
| 2.2 | 1.13750 | 1.14405 | 1.15056 | 1.15704 | 1.16350 | 1.16993 | 1.17632 | 1.18269 | 1.18903 | 1.19535 |
| 2.3 | 1.20163 | 1.20789 | 1.21412 | 1.22033 | 1.22651 | 1.23266 | 1.23879 | 1.24489 | 1.25096 | 1.25701 |
| 2.4 | 1.26303 | 1.26903 | 1.27501 | 1.28096 | 1.28688 | 1.29278 | 1.29866 | 1.30451 | 1.31034 | 1.31615 |
| 2.5 | 1.32193 | 1.32769 | 1.33342 | 1.33914 | 1.34483 | 1.35050 | 1.35614 | 1.36177 | 1.36737 | 1.37295 |
| 2.6 | 1.37851 | 1.38405 | 1.38957 | 1.39506 | 1.40054 | 1.40599 | 1.41143 | 1.41684 | 1.42223 | 1.42761 |
| 2.7 | 1.43296 | 1.43829 | 1.44361 | 1.44890 | 1.45418 | 1.45943 | 1.46467 | 1.46989 | 1.47508 | 1.48027 |
| 2.8 | 1.48543 | 1.49057 | 1.49570 | 1.50080 | 1.50589 | 1.51096 | 1.51602 | 1.52105 | 1.52607 | 1.53107 |
| 2.9 | 1.53605 | 1.54102 | 1.54597 | 1.55090 | 1.55582 | 1.56071 | 1.56560 | 1.57046 | 1.57531 | 1.58015 |
| N | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 3.0 | 1.58496 | 1.58976 | 1.59455 | 1.59932 | 1.60407 | 1.60881 | 1.61353 | 1.61824 | 1.62293 | 1.62761 |
| 3.1 | 1.63227 | 1.63691 | 1.64155 | 1.64616 | 1.65076 | 1.65535 | 1.65992 | 1.66448 | 1.66903 | 1.67356 |
| 3.2 | 1.67807 | 1.68257 | 1.68706 | 1.69153 | 1.69599 | 1.70044 | 1.70487 | 1.70929 | 1.71370 | 1.71809 |
| 3.3 | 1.72247 | 1.72683 | 1.73118 | 1.73552 | 1.73985 | 1.74416 | 1.74846 | 1.75275 | 1.75702 | 1.76129 |
| 3.4 | 1.76553 | 1.76977 | 1.77400 | 1.77821 | 1.78241 | 1.78660 | 1.79077 | 1.79494 | 1.79909 | 1.80323 |
| 3.5 | 1.80735 | 1.81147 | 1.81558 | 1.81967 | 1.82375 | 1.82782 | 1.83188 | 1.83592 | 1.83996 | 1.84398 |
| 3.6 | 1.84800 | 1.85200 | 1.85599 | 1.85997 | 1.86394 | 1.86790 | 1.87184 | 1.87578 | 1.87971 | 1.88362 |
| 3.7 | 1.88753 | 1.89142 | 1.89530 | 1.89918 | 1.90304 | 1.90689 | 1.91073 | 1.91456 | 1.91839 | 1.92220 |
| 3.8 | 1.92600 | 1.92979 | 1.93357 | 1.93734 | 1.94111 | 1.94486 | 1.94860 | 1.95233 | 1.95606 | 1.95977 |
| 3.9 | 1.96347 | 1.96717 | 1.97085 | 1.97453 | 1.97820 | 1.98185 | 1.98550 | 1.98914 | 1.99277 | 1.99639 |
| N | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 4.0 | 2.00000 | 2.00360 | 2.00720 | 2.01078 | 2.01436 | 2.01792 | 2.02148 | 2.02503 | 2.02857 | 2.03210 |
| 4.1 | 2.03562 | 2.03914 | 2.04264 | 2.04614 | 2.04963 | 2.05311 | 2.05658 | 2.06005 | 2.06350 | 2.06695 |
| 4.2 | 2.07039 | 2.07382 | 2.07724 | 2.08066 | 2.08406 | 2.08746 | 2.09085 | 2.09424 | 2.09761 | 2.10098 |
| 4.3 | 2.10434 | 2.10769 | 2.11103 | 2.11437 | 2.11770 | 2.12102 | 2.12433 | 2.12763 | 2.13093 | 2.13422 |
| 4.4 | 2.13750 | 2.14078 | 2.14405 | 2.14731 | 2.15056 | 2.15381 | 2.15704 | 2.16027 | 2.16350 | 2.16672 |
| 4.5 | 2.16993 | 2.17313 | 2.17632 | 2.17951 | 2.18269 | 2.18587 | 2.18903 | 2.19219 | 2.19535 | 2.19849 |
| 4.6 | 2.20163 | 2.20477 | 2.20789 | 2.21101 | 2.21412 | 2.21723 | 2.22033 | 2.22342 | 2.22651 | 2.22959 |
| 4.7 | 2.23266 | 2.23573 | 2.23879 | 2.24184 | 2.24489 | 2.24793 | 2.25096 | 2.25399 | 2.25701 | 2.26003 |
| 4.8 | 2.26303 | 2.26604 | 2.26903 | 2.27202 | 2.27501 | 2.27798 | 2.28096 | 2.28392 | 2.28688 | 2.28983 |
| 4.9 | 2.29278 | 2.29572 | 2.29866 | 2.30159 | 2.30451 | 2.30743 | 2.31034 | 2.31325 | 2.31615 | 2.31904 |
| N | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 5.0 | 2.32193 | 2.32481 | 2.32769 | 2.33056 | 2.33342 | 2.33628 | 2.33914 | 2.34199 | 2.34483 | 2.34767 |
| 5.1 | 2.35050 | 2.35332 | 2.35614 | 2.35896 | 2.36177 | 2.36457 | 2.36737 | 2.37016 | 2.37295 | 2.37573 |
| 5.2 | 2.37851 | 2.38128 | 2.38405 | 2.38681 | 2.38957 | 2.39232 | 2.39506 | 2.39780 | 2.40054 | 2.40327 |
| 5.3 | 2.40599 | 2.40871 | 2.41143 | 2.41414 | 2.41684 | 2.41954 | 2.42223 | 2.42492 | 2.42761 | 2.43029 |
| 5.4 | 2.43296 | 2.43563 | 2.43829 | 2.44095 | 2.44361 | 2.44626 | 2.44890 | 2.45154 | 2.45418 | 2.45681 |
| 5.5 | 2.45943 | 2.46205 | 2.46467 | 2.46728 | 2.46989 | 2.47249 | 2.47508 | 2.47768 | 2.48027 | 2.48285 |
| 5.6 | 2.48543 | 2.48800 | 2.49057 | 2.49313 | 2.49570 | 2.49825 | 2.50080 | 2.50335 | 2.50589 | 2.50843 |
| 5.7 | 2.51096 | 2.51349 | 2.51602 | 2.51854 | 2.52105 | 2.52356 | 2.52607 | 2.52857 | 2.53107 | 2.53356 |
| 5.8 | 2.53605 | 2.53854 | 2.54102 | 2.54350 | 2.54597 | 2.54844 | 2.55090 | 2.55336 | 2.55582 | 2.55827 |
| 5.9 | 2.56071 | 2.56316 | 2.56560 | 2.56803 | 2.57046 | 2.57289 | 2.57531 | 2.57773 | 2.58015 | 2.58256 |
| N | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 6.0 | 2.58496 | 2.58736 | 2.58976 | 2.59216 | 2.59455 | 2.59694 | 2.59932 | 2.60170 | 2.60407 | 2.60644 |
| 6.1 | 2.60881 | 2.61117 | 2.61353 | 2.61589 | 2.61824 | 2.62059 | 2.62293 | 2.62527 | 2.62761 | 2.62994 |
| 6.2 | 2.63227 | 2.63459 | 2.63691 | 2.63923 | 2.64155 | 2.64386 | 2.64616 | 2.64847 | 2.65076 | 2.65306 |
| 6.3 | 2.65535 | 2.65764 | 2.65992 | 2.66221 | 2.66448 | 2.66676 | 2.66903 | 2.67129 | 2.67356 | 2.67582 |
| 6.4 | 2.67807 | 2.68032 | 2.68257 | 2.68482 | 2.68706 | 2.68930 | 2.69153 | 2.69377 | 2.69599 | 2.69822 |
| 6.5 | 2.70044 | 2.70266 | 2.70487 | 2.70708 | 2.70929 | 2.71149 | 2.71370 | 2.71589 | 2.71809 | 2.72028 |
| 6.6 | 2.72247 | 2.72465 | 2.72683 | 2.72901 | 2.73118 | 2.73335 | 2.73552 | 2.73769 | 2.73985 | 2.74201 |
| 6.7 | 2.74416 | 2.74631 | 2.74846 | 2.75061 | 2.75275 | 2.75489 | 2.75702 | 2.75916 | 2.76129 | 2.76341 |
| 6.8 | 2.76553 | 2.76765 | 2.76977 | 2.77189 | 2.77400 | 2.77610 | 2.77821 | 2.78031 | 2.78241 | 2.78450 |
| 6.9 | 2.78660 | 2.78869 | 2.79077 | 2.79286 | 2.79494 | 2.79701 | 2.79909 | 2.80116 | 2.80323 | 2.80529 |
| N | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 7.0 | 2.80735 | 2.80941 | 2.81147 | 2.81352 | 2.81558 | 2.81762 | 2.81967 | 2.82171 | 2.82375 | 2.82579 |
| 7.1 | 2.82782 | 2.82985 | 2.83188 | 2.83390 | 2.83592 | 2.83794 | 2.83996 | 2.84197 | 2.84398 | 2.84599 |
| 7.2 | 2.84800 | 2.85000 | 2.85200 | 2.85400 | 2.85599 | 2.85798 | 2.85997 | 2.86196 | 2.86394 | 2.86592 |
| 7.3 | 2.86790 | 2.86987 | 2.87184 | 2.87381 | 2.87578 | 2.87774 | 2.87971 | 2.88166 | 2.88362 | 2.88557 |
| 7.4 | 2.88753 | 2.88947 | 2.89142 | 2.89336 | 2.89530 | 2.89724 | 2.89918 | 2.90111 | 2.90304 | 2.90497 |
| 7.5 | 2.90689 | 2.90881 | 2.91073 | 2.91265 | 2.91456 | 2.91648 | 2.91839 | 2.92029 | 2.92220 | 2.92410 |
| 7.6 | 2.92600 | 2.92790 | 2.92979 | 2.93168 | 2.93357 | 2.93546 | 2.93734 | 2.93923 | 2.94111 | 2.94298 |
| 7.7 | 2.94486 | 2.94673 | 2.94860 | 2.95047 | 2.95233 | 2.95420 | 2.95606 | 2.95791 | 2.95977 | 2.96162 |
| 7.8 | 2.96347 | 2.96532 | 2.96717 | 2.96901 | 2.97085 | 2.97269 | 2.97453 | 2.97636 | 2.97820 | 2.98003 |
| 7.9 | 2.98185 | 2.98368 | 2.98550 | 2.98732 | 2.98914 | 2.99095 | 2.99277 | 2.99458 | 2.99639 | 2.99820 |
| N | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 8.0 | 3.00000 | 3.00180 | 3.00360 | 3.00540 | 3.00720 | 3.00899 | 3.01078 | 3.01257 | 3.01436 | 3.01614 |
| 8.1 | 3.01792 | 3.01970 | 3.02148 | 3.02326 | 3.02503 | 3.02680 | 3.02857 | 3.03034 | 3.03210 | 3.03386 |
| 8.2 | 3.03562 | 3.03738 | 3.03914 | 3.04089 | 3.04264 | 3.04439 | 3.04614 | 3.04789 | 3.04963 | 3.05137 |
| 8.3 | 3.05311 | 3.05485 | 3.05658 | 3.05832 | 3.06005 | 3.06178 | 3.06350 | 3.06523 | 3.06695 | 3.06867 |
| 8.4 | 3.07039 | 3.07211 | 3.07382 | 3.07553 | 3.07724 | 3.07895 | 3.08066 | 3.08236 | 3.08406 | 3.08576 |
| 8.5 | 3.08746 | 3.08916 | 3.09085 | 3.09255 | 3.09424 | 3.09592 | 3.09761 | 3.09930 | 3.10098 | 3.10266 |
| 8.6 | 3.10434 | 3.10601 | 3.10769 | 3.10936 | 3.11103 | 3.11270 | 3.11437 | 3.11603 | 3.11770 | 3.11936 |
| 8.7 | 3.12102 | 3.12267 | 3.12433 | 3.12598 | 3.12763 | 3.12928 | 3.13093 | 3.13258 | 3.13422 | 3.13586 |
| 8.8 | 3.13750 | 3.13914 | 3.14078 | 3.14241 | 3.14405 | 3.14568 | 3.14731 | 3.14893 | 3.15056 | 3.15218 |
| 8.9 | 3.15381 | 3.15543 | 3.15704 | 3.15866 | 3.16027 | 3.16189 | 3.16350 | 3.16511 | 3.16672 | 3.16832 |
| N | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 9.0 | 3.16993 | 3.17153 | 3.17313 | 3.17473 | 3.17632 | 3.17792 | 3.17951 | 3.18110 | 3.18269 | 3.18428 |
| 9.1 | 3.18587 | 3.18745 | 3.18903 | 3.19061 | 3.19219 | 3.19377 | 3.19535 | 3.19692 | 3.19849 | 3.20006 |
| 9.2 | 3.20163 | 3.20320 | 3.20477 | 3.20633 | 3.20789 | 3.20945 | 3.21101 | 3.21257 | 3.21412 | 3.21568 |
| 9.3 | 3.21723 | 3.21878 | 3.22033 | 3.22188 | 3.22342 | 3.22497 | 3.22651 | 3.22805 | 3.22959 | 3.23113 |
| 9.4 | 3.23266 | 3.23419 | 3.23573 | 3.23726 | 3.23879 | 3.24031 | 3.24184 | 3.24336 | 3.24489 | 3.24641 |
| 9.5 | 3.24793 | 3.24945 | 3.25096 | 3.25248 | 3.25399 | 3.25550 | 3.25701 | 3.25852 | 3.26003 | 3.26153 |
| 9.6 | 3.26303 | 3.26454 | 3.26604 | 3.26754 | 3.26903 | 3.27053 | 3.27202 | 3.27352 | 3.27501 | 3.27650 |
| 9.7 | 3.27798 | 3.27947 | 3.28096 | 3.28244 | 3.28392 | 3.28540 | 3.28688 | 3.28836 | 3.28983 | 3.29131 |
| 9.8 | 3.29278 | 3.29425 | 3.29572 | 3.29719 | 3.29866 | 3.30012 | 3.30159 | 3.30305 | 3.30451 | 3.30597 |
| 9.9 | 3.30743 | 3.30889 | 3.31034 | 3.31179 | 3.31325 | 3.31470 | 3.31615 | 3.31759 | 3.31904 | 3.32048 |
| 10.0 | 3.32193 | 3.32337 | 3.32481 | 3.32625 | 3.32769 | 3.32912 | 3.33056 | 3.33199 | 3.33342 | 3.33485 |
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