If $y=x^2 \log x$ then $\frac{d^2 y}{d x^2}=$

$\left(x^2+2 x+1\right) \log x$ $\log \left(3 e ~x^2\right)$ $\log \left(x+x^2\right)$ $\log \left(e^3 x^2\right)$

$\log \left(e^3 x^2\right)$

The correct answer is Option (4) - $\log \left(e^3 x^2\right)$