Logarithmic And Trigonometric Tables

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Since log -^x = log x^^'' — - log a;, P it is easy to extract roots of any order l)y means of logarithms.
If the characteristic of log x is not negative, no further re- mark is necessary. If log x is negative, we proceed as in the following example : * A computer with some experience will refrain from actually writinR the logarithm in the form 11.50974 — 10. It is easy for him to carry out the calculation as though it were so written.
xiv INTRODUCTION TO THE TABLES Problem 7. Compute by logarit
...hms: V.53760, \^.53760, and \^.53760.
Solution, log 0.53760 = 9.73046 - 10.
log V.58760 = \ log 0.53760 = I (19.73046 - 20) = 9.86523 - 10.
log v^:53760 = i log 0.53760 = \ (29.73046 - 30)= 9.91015 - 10.
log v^.53760 = I log 0.53760 = \ (49.73046 - 50) = 9.94609 - 10.
Therefore, from Table I, V,53760 = .73322, V.5376U = .81312, V..53760 = .88326.
8. Logarithmic CEilculations which involve negative numbers.
We have defined only the logarithms of positive numbers.
But this suffices for our purposes.


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