Solve the following equation for $x : 125 = 5^{2 x - 1}$ .

2

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5

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\sqrt{5}

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25

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Solution

The correct option is C $2$
Given, $125 = 5^{2 x - 1}$
$\Rightarrow 125 = 5^{2 x - 1} = 5^{3}$
By comparing powers, we get
$2 x - 1 = 3$
$\Rightarrow x = 2$

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