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

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: Option D
Explanation

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

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