Evaluate \(\log_{0.25} 8\)
FURTHER MATHEMATICS
WAEC 2006
Evaluate \(\log_{0.25} 8\)
- A. \(\frac{3}{2}\)
- B. \(\frac{2}{3}\)
- C. \(-\frac{2}{3}\)
- D. \(-\frac{3}{2}\)
Correct Answer: D. \(-\frac{3}{2}\)
Explanation
\(\log_{0.25} 8 = x\)
\(8 = 0.25^{x}\)
\(2^{3} = (2^{-2})^{x} \implies 3 = -2x\)
\(x = -\frac{3}{2}\)
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