table of natural logarithms
TableOfNaturalLogarithms
2008-06-12 21:07:07
2008-06-12 21:07:07
Data Structure
logarithm
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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.
\begin{tabular}{|l|l|l|l|l|l|l|l|l|l|l|}
$n$ & 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 \\
\end{tabular}