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![[parent]](http://images.planetmath.org:8080/images/uparrow.png)
table of natural logarithms
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(Data Structure)
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This table is for integers in the range $-1 < n < 100$ . To find the natural logarithm (that is, with base $e$ , the natural log base) for the desired $n$ , look for the ten's place digit (0 in the case of $-1 < n <
10$ ) in the leftmost column and the one's place digit in the topmost row. The intersection $x$ of that row and column thus gives $\log n$ to four or five decimal places.
| $n$ |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
| 0 |
$-\infty$ |
0.0000 |
0.69315 |
1.09861 |
1.38629 |
1.60944 |
1.79176 |
1.94591 |
2.07944 |
2.19722 |
| 1 |
2.30259 |
2.3979 |
2.48491 |
2.56495 |
2.63906 |
2.70805 |
2.77259 |
2.83321 |
2.89037 |
2.94444 |
| 2 |
2.99573 |
3.04452 |
3.09104 |
3.13549 |
3.17805 |
3.21888 |
3.2581 |
3.29584 |
3.3322 |
3.3673 |
| 3 |
3.4012 |
3.43399 |
3.46574 |
3.49651 |
3.52636 |
3.55535 |
3.58352 |
3.61092 |
3.63759 |
3.66356 |
| 4 |
3.68888 |
3.71357 |
3.73767 |
3.7612 |
3.78419 |
3.80666 |
3.82864 |
3.85015 |
3.8712 |
3.89182 |
| 5 |
3.91202 |
3.93183 |
3.95124 |
3.97029 |
3.98898 |
4.00733 |
4.02535 |
4.04305 |
4.06044 |
4.07754 |
| 6 |
4.09434 |
4.11087 |
4.12713 |
4.14313 |
4.15888 |
4.17439 |
4.18965 |
4.20469 |
4.21951 |
4.23411 |
| 7 |
4.2485 |
4.26268 |
4.27667 |
4.29046 |
4.30407 |
4.31749 |
4.33073 |
4.34381 |
4.35671 |
4.36945 |
| 8 |
4.38203 |
4.39445 |
4.40672 |
4.41884 |
4.43082 |
4.44265 |
4.45435 |
4.46591 |
4.47734 |
4.48864 |
| 9 |
4.49981 |
4.51086 |
4.52179 |
4.5326 |
4.54329 |
4.55388 |
4.56435 |
4.57471 |
4.58497 |
4.59512 |
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"table of natural logarithms" is owned by PrimeFan.
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(view preamble | get metadata)
Cross-references: decimal places, intersection, row, column, digit, place, natural log base, base, natural logarithm, range, integers
This is version 1 of table of natural logarithms, born on 2008-06-12.
Object id is 10699, canonical name is TableOfNaturalLogarithms.
Accessed 1073 times total.
Classification:
| AMS MSC: | 26-00 (Real functions :: General reference works ) | | | 26A09 (Real functions :: Functions of one variable :: Elementary functions) | | | 26A06 (Real functions :: Functions of one variable :: One-variable calculus) |
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Pending Errata and Addenda
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