Given that 10x = 0.2 and log102 = 0.3010, find x

A.

-1.3010

B.

-0.6990

C.

0.6990

D.

1.3010

E.

0.02

View answer & explanation

Correct answer is B

Given that log102 = 0.3010, If 10x = 0.2

log1010x = log10 0.2 = log10

xlog10 10 = log10 2 - log1010 since log10 10 = 1

x = 0.3010 - 1

x = -0.6990

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