Question

If ${\log }_{5}x=y$, then value of $5^{5y}$ is equal to

• A. $\frac{x}{5}$
• B. $5x$
• C. ${\log }_{x}5$
• D. $x^5$

Answer 1

The correct option is D $x^5$

${\log }_{5}x=y\Rightarrow 5^y=x$
$\therefore (5^y{)}^5=x^5\Rightarrow 5^{5y}=x^5$