Answer
$x = 16$
Work Step by Step
$\log_2 (4x) = 6$
$2^{6} = 4x$
$64 = 4x$
$x = 16$
Check:
$\log_2 (4(16)) \overset{?}{=} 6$
$\log_2 (64) \overset{?}{=} 6$
$\log_2 (2^{6}) \overset{?}{=} 6$
$6 = 6$
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