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If -2x = -128...

Question

If $(- 2)^{x} = - 128$ , then find the value ' $x$ '.

A

5

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B

10

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C

3

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D

7

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Solution

The correct option is D $7$

$128 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times = 2^{7}$
$(- 2)^{7}$ is equal to $- 128.$
$H e n c e, x = 7$ .

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