Answer
{$29$}
Work Step by Step
Squaring both sides of the equation, we obtain:
$\sqrt {3x-6}=9$
$(\sqrt {3x-6})^{2}=9^{2}$
$3x-6=81$
$3x=81+6$
$3x=87$
$x=\frac{87}{3}=29$
Therefore, the solution set is {$29$}.
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