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

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