Evaluate \(\frac{log8}{log\left(\frac{1}{4}\right)}\)

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Mathematics WAEC 2003

Evaluate \(\frac{log8}{log\left(\frac{1}{4}\right)}\)

  • -2
  • \(\frac{-3}{2}\) checkmark
  • \(\frac{1}{2}\)
  • 4

The correct answer is: B

Explanation

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