Given that 10x = 0.2 and log102 = 0.3010, find x
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Correct Answer: Option B
Explanation:
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
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