If log 10 2 = 0.3010, then log 2 10 is equal to: Options: A . &nbsp \(\frac{699}{301}\) B . &nbsp \(\frac{1000}{301}\) C . &nbsp0.3010 D . &nbsp0.6990

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

Question

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

Options:

A . \(\frac{699}{301}\)

B . \(\frac{1000}{301}\)

C . 0.3010

D . 0.6990

Answer: Option B

\(\log_{2}10=\frac{1}{\log_{10}2}=\frac{1}{0.310}=\frac{10000}{3010}=\frac{1000}{301}\)

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