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Tuesday, 21 April 2026
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Evaluate \(\frac{log8}{log\left(\frac{1}{4}\right)}\)

Evaluate \(\frac{log8}{log\left(\frac{1}{4}\right)}\)
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  • A -2
  • B \(\frac{-3}{2}\)
  • C \(\frac{1}{2}\)
  • D 4
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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