Solve for $x$ :
$2^{3 {log}_{2} x} = 64$ .

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Solution

Given,
$2^{3 {log}_{2} x} = 64$

or, $2^{{log}_{2} x^{3}} = 64$

or, $x^{3} = 4^{3}$

or, $x = 4$ .

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