Simplify \(\frac{\log \sqrt{8}}{\log 4 - \log 2}\)
MATHEMATICS
WAEC 2008
Simplify \(\frac{\log \sqrt{8}}{\log 4 - \log 2}\)
- A. \(\frac{2}{3}\)
- B. \(\frac{1}{2} \log 2\)
- C. \(\frac{3}{2}\)
- D. \(\log 2\)
Correct Answer: C. \(\frac{3}{2}\)
Explanation
\(\frac{\log\sqrt{8}}{\log 4 - \log 2} = \frac{\log 8\frac{1}{2}}{\log (\frac{4}{2})}\)
= \(\frac{8 \frac{1}{2}}{\log (\frac{4}{2})}\)
= \(\frac{\frac{1}{2} \log 2^3}{\log 2}\)
= \(\frac{3}{2} \frac{\log 2}{\log 2}\)
= \(\frac{3}{2}\)
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