In my work, I came across the following expression:
$\frac{1}{\sqrt{2\pi\sigma^2}}\text{exp}\left[-\frac{1}{2\sigma^2}\right]$---(1)
Taking natural log of eq. (1)
$-\text{ln}{\sqrt{2\pi\sigma^2}}-\frac{1}{2\sigma^2}$---(2)
I understood that natural log and exponential will cancel each other, my query is that I am not getting how in eq. (2) $-\text{ln}{\sqrt{2\pi\sigma^2}}$ is coming.
Any help in this regard will be highly appreciated.