Answer
$x=83 $
Work Step by Step
Recall the rule that when $y=\log_a b$, we have: $a^y=b$
Applying this rule, we obtain:
$3^{2}=\sqrt {x-2} \\9 =\sqrt {x-2} \\ 81 =x-2 \\ x=81+2 \\ x=83 $
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