Simplify \(\frac{\log \sqrt{8}}{\log 4 – \log 2}\)
- \(\frac{2}{3}\)
- \(\frac{1}{2} \log 2\)
-
\(\frac{3}{2}\)
- \(\log 2\)
The correct answer is: C
Explanation
\(\frac{\log\sqrt{8}}{\log 4 - \log 2} = \frac{\log 8\frac{1}{2}}{\log (\frac{4}{2})}\)= \(\frac{8 \frac{1}{2}}{\log (\frac{4}{2})}\)
= \(\frac{\frac{1}{2} \log 2^3}{\log 2}\)
= \(\frac{3}{2} \frac{\log 2}{\log 2}\)
= \(\frac{3}{2}\)