Question

find the value of x if

$( \sqrt{3 {}^{x} } ) = {3}^{7}$
ANSWER =14

Answer 1

$\textit{ \textbf{ Hello Mate! }}$

$Error \: correction = > { \sqrt{3} }^{x} = {3}^{7}$

Let's begin solving :-

${ \sqrt{3} }^{x} = {3}^{7} \\ \\ {( {3}^{ \frac{1}{2} } )}^{x} = {3}^{7} = > {3}^{ \frac{x}{2} } = {3}^{7}$

As the bases are common hence,

$\frac{x}{2} = 7 = > x = 7 \times 2 \\ x = 14$

$\boxed{ \textsf{ Hence,\:answer\:is\:14 }}$

Have great future ahead!