$3^{x} 8^{x / (x + 2)} = 6$
solve for x.

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Solution

By trail we see that $x_{1} = 1$ is a solution of the given equation. Now take logarithms to base 10.
Hence the original equation has two roots
$x_{1} = 1, x_{2} = - 2 l o g_{3} 6$

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