Question

If $\frac{\log 81}{\log 27}=x$, then the value of $x$ is equal to

• A. $\frac{4}{3}$
• B. $\frac{3}{4}$
• C. $\frac{1}{3}$
• D. Not solvable

Answer 1

The correct option is A $\frac{4}{3}$

$\frac{\log 81}{\log 27}=x$
$\Rightarrow x=\frac{\log 3^4}{\log 3^3}=\frac{4\log 3}{3\log 3}=\frac{4}{3}$