Correct Answer: Option C

Explanation

\(\frac{\log\sqrt{8}}{\log 4 - \log 2} = \frac{\log 8\frac{1}{2}}{\log (\frac{4}{2})}\)

= \(\frac{8 \frac{1}{2}}{\log (\frac{4}{2})}\)

= \(\frac{\frac{1}{2} \log 2^3}{\log 2}\)

= \(\frac{3}{2} \frac{\log 2}{\log 2}\)

= \(\frac{3}{2}\)

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