Solve : $l o g_{x} (3 x^{2} + 10 x) = 3$

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Solution

The domain of x is x > 0, x - 10x = 0
or $x (x - 5) (x + 2) = 0$
Since $x = 0$ and $x = - 2$ do not lie in the domain of x, the only solution of the given equation is $x = 5.$

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