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Combination

If 8x - 1 =...

Question

If $8^{x - 1} = 2^{x + 3}$ , then $x$ is ________.

2

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3

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Solution

The correct option is C $3$
Given, $8^{x - 1} = 2^{x + 3}$
LHS : $8^{x - 1} = 2^{3 (x - 1)}$
Comparing powers of RHS & LHS
Now $3 (x - 1) = x + 3$
$\Rightarrow 3 x - 3 = x + 3$
$\Rightarrow 2 x = 6$
$\Rightarrow x = 3$

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