The value of $x$ satisfying the equation $2^{x + 2} {.3}^{3 x / x - 1} = 9 ?$

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Solution

According to question,

$2^{x + 2} {.3}^{3 x / x - 1} = 3^{2} {.2}^{0}$

On comparison , we get

$x + 2 = 0$ and $3 x / x - 1 = 2$

Hence,
$x = - 2$

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