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

MATHEMATICS
WAEC 2012

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

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 2 + \(\frac{1}{2}\) log m



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