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
Correct Answer: B. \(\frac{-3}{2}\)
Explanation
\(\frac{log8}{log\frac{1}{4}}=\frac{log2^3}{log2^{-2}}=\frac{3log2}{-2log2}=-\frac{3}{2}\)
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