Number of solutions of the equation $({log}_{2 x^{2} + 2 x + 3} (x^{2} - 2 x)) = 0$ is

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Solution

The correct option is D 0
We know that $log 1 = 0$
So, $x^{2} - 2 x = 1$
$=> x (x - 2) = 1$
As no such number exists, there is no solution for the given equation

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