Question

If $lo{g}_5\sqrt[3]{35}=x$ then value of $x$ is _____.

• A. $\frac{1}{3}$
• B. $5^3$
• C. $3$
• D. $\frac{3}{2}$

Answer 1

The correct option is A $\frac{1}{3}$

${\log }_5\sqrt[3]{35}=x$

or, ${\log }_5{5}^{\frac{1}{3}}=x$

or, $\frac{1}{3}{\log }_{5}5=x$

or, $x=\frac{1}{3}$ [Since ${\log }_{a}a=1\text{for}a>0$