If $2^{x} - 2^{x - 1} = 4$ , then $x^{3}$ equals

1

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3

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5

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27

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Solution

The correct option is C $27$
$2^{x} - 2^{x} - 14$ or $2^{x} (1 - \frac{1}{2}) = 4$
or $\frac{2^{x}}{2} = 4$ or $2^{x} = 2^{3}$ or $x = 3$
$∴ x^{3} = 3^{3} = 27$

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