Answer
$x=13$
Work Step by Step
Squaring both sides of the given equation, $
\sqrt{4x-3}=7
,$ then the solution/s is/are
\begin{array}{l}\require{cancel}
4x-3=49
\\\\
4x=49+3
\\\\
4x=52
\\\\
x=\dfrac{52}{4}
\\\\
x=13
.\end{array}
Upon checking, $
x=13
$ satisfies the original equation.