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1. If log₁₀ 2 = 0.3010, then log₂ 10 is equal to:

A. $\frac{699}{301}$

B. $\frac{1000}{301}$

C. 0.3010

D. 0.6990

Solution:

\begin{aligned} \log_{2} 10 \\ = \frac{1}{\log_{10} 2} \\ = \frac{1}{0.3010} \\ = \frac{10000}{3010} \\ = \frac{1000}{301} \end{aligned}

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