If $3^{2 x + 1} = 81$ , then $x$ is equal to:

1

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\frac{3}{2}

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2

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\frac{5}{2}

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3

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Solution

The correct option is A $\frac{3}{2}$
Given, $3^{2 x + 1} = 81$
$\Rightarrow 3^{2 x + 1} = 3^{4}$
Comparing the power values, we get
$2 x + 1 = 4$
$\Rightarrow 2 x = 3$
$\Rightarrow x = \frac{3}{2}$

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