A Short Course in Higher Algebra for Academies High Schools And Colleges

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53 = 1. 4847, log . 3053 = 9. 4847 - 10, log 305. 3 = 2. 4847, log . 03053 =8. 4847-10, log 3053. = 3. 4847, log . 003053 = 7. 4847 - 10, etc.
Note. The reason will now be seen for the statement made in Art. 402, that only the mantissas are given in a table of logarithms of numbers. For, to find the logarithm of any number, we have only to take from the table the mantissa corresponding to its sequence of figures, and the characteristic may then be prefixed in accordance with the rules of Art. 4
...02, This property of logarithms is only enjoyed by the common system, and constitutes its superiority over others for the purposes of numeri- cal computation.
414. 1. Given log 2 = . 3010, log 3 = . 4771; find log. 00432.
log 432 = log (2^ X 3=^) = 4 log 2 + 3 log 3 = 1. 2040 + 1. 4313 = 2. 6353. Then by Art. 413, the mantissa of the result is . 6353. Whence by Art. 402, log . 00432 = 7. 6353 - 10, Ans.
LOGARITHMS. 337 EXAMPLES.
Given log 2 =. 3010, log 3 = . 4771, and log 7 =. 8451; find: 2. Log 1.


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