If 2 $^{x}$ - 2 $^{x - 2}$ = 12, then x $^{2}$ = ?

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Solution

The correct option is D
4

$\begin{matrix} 2^{x} (1 - 2^{- 2}) = 12 \Rightarrow 2^{x} = \frac{12 \times 4}{3} = 16 ∴ x = 4. \end{matrix}$

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