Find the value of ' $x$ ' such that
${(3^{6})}^{4} = 3^{12 x}$

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Solution

${(3^{6})}^{4} = 3^{12 x}$ $(∵ {(a^{m})}^{n} = a^{m n})$
$3^{24} = 3^{12 x}$
As bases are equal, Hence
$24 = 12 x$
$∴$ $x = \frac{24}{12} = 2$

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