\(Simplify: \frac{log √27 – log √8}{log 3 – log 2}\)
-
\(\frac{3}{2}\)
- -\(\frac{1}{4}\)
- -\(\frac{3}{2}\)
- \(\frac{1}{4}\)
The correct answer is: A
Explanation
\(\frac{log √27 - log √8}{log 3 - log 2}\)
= \(\frac{log √3^3 - log √2^3}{log 3 - log 2}\)
= \(\frac{log3^{3/2} - log2^{3/2}}{log3}\)
=\(\frac{^3/_2(log 3 - log 2)}{log 3 - log 2}\)
\(\therefore\frac{3}{2}\)