Do these functions have the same domain: $y=\ln (x^2)$ and $y=2\ln(x)$

Question

I believe the domain of the first one has all the $x\in\mathbb{R}$ different from $0$ and the second is $x>0$, but aren't these two functions equal?

Answer 1

HINT: we have $\ln(x^2)=2\ln(|x|)$ for $x\ne 0$