Find $x$ , if ${(3^{6})}^{4} = 3^{12 x}$

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Solution

${{(3}^{6})}^{4}$ $= 3^{12 x}$
$3^{(6) (4)}$ $= 3^{12 x}$
$3^{24}$ $= 3^{12 x}$
By comparing ,
$24 = 12 x$
$x = 2$

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