If $3^{2 x + 2} = 27^{2}$ , find the value of $x$ .

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Solution

The correct option is C $2$
Given, $3^{2 x + 2} = 27^{2}$
$3^{2 x + 2} = 3^{6}$
Taking $log$ on both sides give us
$(2 x + 2) log 3 = 6 log 3$
$\Rightarrow 2 x + 2 = 6$
$\Rightarrow x = 2$

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