The values of $x$ for which the equation $({log}_{a} x^{2} = 2 {log}_{a} x)$ holds true are

All real numbers

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[0, \infty)

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(0, \infty)

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None of these

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Solution

The correct option is A $(0, \infty)$
clearly domain of $log x$ is $(0, \infty)$
We cannot use negative value and zero in $l o g$ .

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