If $2^{m} + 2^{1 + m} = 24$ , then what is value of $m$ ?

0

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\frac{1}{3}

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3

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6

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Solution

The correct option is C $3$
Given, $2^{m} + 2^{1 + m} = 24$
Therefore, $2^{m} + 2 \times 2^{m} = 24$
$\Rightarrow 3 \times 2^{m} = 24$
$\Rightarrow 2^{m} = 8$
$\Rightarrow 2^{m} = 2^{3}$
$\Rightarrow m = 3$

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