Question

${\log }_{\sqrt{5}}625$ is equal to

• A. $8$
• B. $4$
• C. $5$
• D. $6$

Answer 1

The correct option is A $8$

Consider, ${\log }_{\sqrt{5}}625$

$=\frac{1}{\frac{1}{2}}{\log }_{5}625$

$=2{\log }_5{5}^4$

$=2\times 4{\log }_{5}5$

$=2\times 4$

$=8$

Hence, A is the correct option.