Evaluate (frac{log8}{logleft(frac{1}{4}right)})

Evaluate (frac{log8}{logleft(frac{1}{4}right)})
  • A.
    -2
  • B.
    (frac{-3}{2})
  • C.
    (frac{1}{2})
  • D.
    4
Correct Answer: Option B
Explanation

(frac{log8}{logfrac{1}{4}}=frac{log2^3}{log2^{-2}}=frac{3log2}{-2log2}=-frac{3}{2})

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