01-08-TableOfCommonLogarithms.tex

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\pmtitle{table of common logarithms}
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\begin{document}
This table is for integers in the range $-1 < n < 100$. To find the common logarithm (that is, with base 10, the same base of our numeral system) 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 $\log _{10} n$ 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 & $-\infty$ & 0.00000 & 0.30103 & 0.477121 & 0.60206 & 0.69897 & 0.778151 & 0.845098 & 0.90309 & 0.954243 \\
1 & 1. & 1.04139 & 1.07918 & 1.11394 & 1.14613 & 1.17609 & 1.20412 & 1.23045 & 1.25527 & 1.27875 \\
2 & 1.30103 & 1.32222 & 1.34242 & 1.36173 & 1.38021 & 1.39794 & 1.41497 & 1.43136 & 1.44716 & 1.4624 \\
3 & 1.47712 & 1.49136 & 1.50515 & 1.51851 & 1.53148 & 1.54407 & 1.5563 & 1.5682 & 1.57978 & 1.59106 \\
4 & 1.60206 & 1.61278 & 1.62325 & 1.63347 & 1.64345 & 1.65321 & 1.66276 & 1.6721 & 1.68124 & 1.6902 \\
5 & 1.69897 & 1.70757 & 1.716 & 1.72428 & 1.73239 & 1.74036 & 1.74819 & 1.75587 & 1.76343 & 1.77085 \\
6 & 1.77815 & 1.78533 & 1.79239 & 1.79934 & 1.80618 & 1.81291 & 1.81954 & 1.82607 & 1.83251 & 1.83885 \\
7 & 1.8451 & 1.85126 & 1.85733 & 1.86332 & 1.86923 & 1.87506 & 1.88081 & 1.88649 & 1.89209 & 1.89763 \\
8 & 1.90309 & 1.90849 & 1.91381 & 1.91908 & 1.92428 & 1.92942 & 1.9345 & 1.93952 & 1.94448 & 1.94939 \\
9 & 1.95424 & 1.95904 & 1.96379 & 1.96848 & 1.97313 & 1.97772 & 1.98227 & 1.98677 & 1.99123 & 1.99564 \\
\end{tabular}
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