b. Example 2. Find the fourth root of 625.
Solution.
Fourth root 625 = (625)1/4
log (625)1/4 = 1/4 log 625 = 1/4 X 2.7959 = 0.6990
antilog 0.6990 = 5.00
Thus, the fourth root of 625 = 5.00
1-42. USE OF LOGARITHMS TO FIND THE PRODUCT OF NUMBERS WITH
To find the product of a number that has an exponent, determine the logarithm of
the number and multiply by the exponent. The antilogarithm of the product is taken.
For example, if a number has been squared, find the logarithm of the number and
multiply by two, then find the antilog.
a. Example 1. Find the product of (625)2 using logarithms.
Solution.
log 6252 = 2 log 625 = 2 X 2.7959 = 5.5918
antilog 5.5918 = 391,000 = 3.91 X 105
NOTE:
If 625 is squared with a calculator, the resulting number is 390,625.
b. Example 2. Find the product of 62510 using logarithms.
Solution.
log 62510 = 10 log 625 = 10 X 2.7959 = 27.959
antilog 27.959 = 9.10 X 1027
1-43. EXERCISES, SECTION VI
After you have completed the following exercises, turn to the end of the lesson,
and check your answers with the solutions.
MD0837
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