Which of these statements about y = 8\(\sqrt{m}\) is correct?

A.

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

B.

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

C.

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

D.

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

Correct answer is D

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

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

log y = log 23 + log m\(\frac{1}{2}\)

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