Question

Logarithmic form of $8^{\frac{1}{3}}=2$ is

• A. ${\log }_{8}2=\frac{1}{3}$
• B. ${\log }_{2}8=\frac{1}{3}$
• C. ${\log }_{\frac{1}{3}}8=2$
• D. ${\log }_{\frac{1}{3}}2=0$

Answer 1

The correct option is A ${\log }_{8}2=\frac{1}{3}$

Since, $8^{\frac{1}{3}}=2$
$⟹\log$ of $2$ to base $8$ is $\frac{1}{3}$
$⟹{\log }_{8}2=\frac{1}{3}$.