Correct Answer: Option D

Explanation

y = \(\sqrt{8m}\); log y = log \(\sqrt{8m}\)

log y = log \(\sqrt{8}\) + log \(\sqrt{m}\)

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

log y = \(\frac{3}{2}\) log 2 + \(\frac{1}{2}\) log m

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