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

Mathematics
WAEC 2003

Evaluate \(\frac{log8}{log\left(\frac{1}{4}\right)}\)
  • A. -2
  • B. \(\frac{-3}{2}\)
  • C. \(\frac{1}{2}\)
  • D. 4
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Correct Answer: Option B
Explanation
\(\frac{log8}{log\frac{1}{4}}=\frac{log2^3}{log2^{-2}}=\frac{3log2}{-2log2}=-\frac{3}{2}\)

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