If log 2 = 0.3010 and log 3 = 0.4771,then log 18 =
A) 0.0685.
B) 0.1761.
C) 1.2552.
D) 1.9030.
E) 2.3343.

Name: If log 2 = 0.3010 and log 3 = 0.4771,then log 18 = A) 0.0685. B) 0.1761. C) 1.2552. D) 1.9030. E) 2.3343.
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Quizplus · Accepted Answer

First we use the logarithmic identity log(a*b) = log(a) + log(b) to rewrite 18 as 2*3^2. Then we use the given logarithmic values to compute:
log(2) = 0.3010
log(3^2) = 2*log(3) = 2*0.4771 = 0.9542
log(18) = log(2*3^2) = log(2) + log(3^2) = 0.3010 + 0.9542 = 1.2552.

If Log 2 = 0