Answer
$x=42$
Work Step by Step
Squaring both sides of the equal sign, the value of $x$ that satisfies the equation $
\sqrt{2x-3}=9
$ is
\begin{array}{l}
\left( \sqrt{2x-3} \right)^2=(9)^2
\\\\
2x-3=81
\\\\
2x=84
\\\\
x=42
.\end{array}