WAEC - Mathematics (1993 - No. 8)
Simplify: \(\frac{\log \sqrt{27}}{\log {81}}\)
1/6
3/8
1/2
3/4
6
Explication
\(\frac{\log \sqrt{27}}{\log 81}\)
= \(\frac{\log \sqrt{3^3}}{\log 3^4}\)
= \(\frac{\log 3^{\frac{3}{2}}}{\log 3^4}\)
= \(\frac{\frac{3}{2} \log 3}{4 \log 3}\)
= \(\frac{\frac{3}{2}}{4}\)
= \(\frac{3}{8}\)