If $3^{{log}_{4} x} = 27$ , then $x$ is equal to

16

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64

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27

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{log}_{2} 16

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Solution

The correct option is A $64$
$3^{{log}_{4} x} = 27$
$\Rightarrow 3^{{log}_{4} x} = 3^{3}$
Equating powers of $3$
${log}_{4} x = 3$
Taking exponential of the above equation, we get
$4^{3} = x$
$∴ x = 64$

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