Answer
$x \approx 4.39$
Work Step by Step
RECALL:
$\ln{x}= y \longrightarrow e^y=x$
Use the rule above to obtain:
$e^{1}=\sqrt{x+3}$
Square both sides of teh equation to obtain:
$e^2=x+3$
Subtract $3$ on both sides of the equation to obtain:
$e^2-3=x$
Use a calculator to obtain:
$x=4.389056099
\\x \approx 4.39$