SOLUTION: Given log10 2=.3010 and log10 3=.4771, find each logarithm without using a calculator. log10 20/27

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Question 299262: Given log10 2=.3010 and log10 3=.4771, find each logarithm without using a calculator.
log10 20/27
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Given log10 2=.3010 and log10 3=.4771, find each logarithm without using a calculator.
log10 20/27
.
log10(20) - log10(27)
log10(2*10) - log10(3^3)
log10(2)+log10(10) - 3log10(3)
log10(2)+1 - 3log10(3)
Substitute in what was given:
.3010 + 1 - 3(.4771)
-0.1303