Asked in PPSC, FPSC and other one-paper exams (compiled from unofficial resources).

If $\log_{10} 2 = 0.3010$, then $\log_2 10$ is equal to _?

A.$\frac{1}{0.3010}$
B.$\frac{301}{1000}$
C.$3.322$
D.$\frac{1000}{301}$Correct answer

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Quick fact: Using the change of base formula, $\log_2 10 = \frac{1}{\log_{10} 2} = \frac{1}{0.3010} = \frac{10000}{3010} = \frac{1000}{301}$, so the answer is $\frac{1000}{301}$.

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If $\log_{10} 2 = 0.3010$, then $\log_2 10$ is equal to _?

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