$2^{3 x} = 8^{4 x + 3}$

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Solution

We have,
$2^{3 x} = 8^{4 x + 3}$

$2^{3 x} = (2^{3})^{4 x + 3}$

$2^{3 x} = 2^{12 x + 9}$

On comparing both sides, we get
$3 x = 12 x + 9$
$9 x = - 9$
$x = - 1$

Hence, this is the answer.

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