Sharing The Domain?

Algebra Level 1

We learnt that log(x2)=2logx \log ( x^2 ) = 2 \log x .

Is the domain of f(x)=2logxf\left( x \right) =2\log { { x } } and f(x)=log(x2)f\left( x \right) =\log ( { x }^{ 2 } ) the same?

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