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A.
log y = log 8 x log \(\sqrt{m}\)
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B.
log y = 3 log 2 x \(\frac{1}{2}\) log m
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C.
log y = 3 log 2 - \(\frac{1}{2}\) log m
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D.
log y = \(\frac{3}{2}\) log 2 + \(\frac{1}{2}\) log m
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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