Answer
$x = 5$
Work Step by Step
$12(4^{x}) = 12288$
$4^{x} = \frac{12288}{12}$
$4^{x} = 1024$
$4^{x} = 1024$
$x = \log_4 {1024}$
$x = \log_4 {4^{5}}$
$x = 5$
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