Simplify: \(\frac{\log \sqrt{27}}{\log \sqrt{81}}\)
MATHEMATICS
WAEC 1993
Simplify: \(\frac{\log \sqrt{27}}{\log \sqrt{81}}\)
- A. 1/6
- B. 3/8
- C. 1/2
- D. 3/4
Correct Answer: B. 3/8
Explanation
\(\frac{\log \sqrt{27}}{\log 81}\)
= \(\frac{\log \sqrt{3^3}}{\log 3^4}\)
= \(\frac{\log 3^{\frac{3}{2}}}{\log 3^4}\)
= \(\frac{\frac{3}{2} \log 3}{4 \log 3}\)
= \(\frac{\frac{3}{2}}{4}\)
= \(\frac{3}{8}\)
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