Answer
$x e^{\ln x^2}=x^3$
Work Step by Step
Need to verify $x e^{\ln x^2}=x^3$
We know that $e^{\log x}=x$;
Then, we have
$x e^{\ln x^2}=x \cdot x^2$
We know that $x^a \cdot x^b=x^{a+b}$
$\implies x \cdot x^2=x^{1+2}$
Thus, we have $x e^{\ln x^2}=x^{3}$
Hence, the left-hand side and right hand side are equal.
