Simplify frac log sqrt 27 log sqrt 81 - WAEC Mathematics 1993 Question
Simplify: \(\frac{\log \sqrt{27}}{\log \sqrt{81}}\)
A
1/6
B
3/8
C
1/2
D
3/4
correct option: b
\(\frac{\log \sqrt{27}}{\log 81}\)
= \(\frac{\log \sqrt{3^3}}{\log 3^4}\)
= \(\frac{\log 3^{\frac{3}{2}}}{\log 3^4}\)
= \(\frac{\frac{3}{2} \log 3}{4 \log 3}\)
= \(\frac{\frac{3}{2}}{4}\)
= \(\frac{3}{8}\)
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