Answer
$x = 12$
Work Step by Step
$\log_6 (3x) = 2$
$6^{2} = 3x$
$36 = 3x$
$x = 12$
Check:
$\log_6 (3(12)) \overset{?}{=} 2$
$\log_6 (36) \overset{?}{=} 2$
$\log_6 (6^{2}) \overset{?}{=} 2$
$2 = 2$
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