9 Given log 103=0.4771 and log 107 = 0.8451, find log 10 9 log 10 49 (Round to four decimal places as needed.) without using a calculator.

Dhrupal asked Jun 15, 2023

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19 votes

9

Given log 103=0.4771 and log 107 = 0.8451, find log 10
9
log 10 49
(Round to four decimal places as needed.)
without using a calculator.

Dhrupal asked Jun 15, 2023

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19 votes

Explanation:

rules of the logarithm :

e.g.

log(a×b) = log(a) + log(b)

log10(9) = log10(3×3) = log10(3) + log10(3) =

= 0.4771 + 0.4771 = 0.9542

log10(49) = log10(7×7) = log10(7) + log10(7) =

= 0.8451 + 0.8451 = 1.6902

Simpletron answered Jun 19, 2023

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