Answer
$x=-\frac{4}{3}$
Work Step by Step
Step 1: $2^{3x}=\frac{1}{16}$
Step 2: $2^{3x}=16^{-1}$
Step 3: $2^{3x}=(2^{4})^{-1}$
Step 4: $2^{3x}=2^{-4}$
Step 5: $3x=-4$
Step 6: $x=-\frac{4}{3}$
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