If $(2^{2})^{x} = 64$ , then what is the value of $x$ ?

5

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2

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3

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4

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6

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Solution

The correct option is C $3$
Given equation is
${(2^{2})}^{x} = 64$
$\Rightarrow 2^{2 x} = 2^{6}$
$\Rightarrow 2 x = 6$ (as the base is same, exponents will be equal)
$\Rightarrow x = 3$

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