Question

$\frac{log\sqrt{27}}{log27}$ is equal to

• A. $\frac{1}{\sqrt{27}}$
• B. $\frac{1}{9}$
• C. $\frac{1}{2}$
• D. $\frac{1}{3}$

Answer 1

The correct option is C

$\frac{1}{2}$

$lo{g}_b{a}^m=mlo{g}_{b}a$ ....... (Power Law)

$\Rightarrow \frac{log{27}^{\frac{1}{2}}}{log27}=\frac{1}{2}.\frac{log27}{log27}=\frac{1}{2}$