How to get the normalized log-normal distribution equation?

[Seunghyun Moon]

I have a quick(?) question about log-normal distribution. As far as I know, the right-side equation (from wiki) is the PDF of log-normal distribution. However... How I can get the left-side equation...??

I do not know how I can get the normalized log-normal function? please help me...

 

[Simon Bridge]

The RHS equation is the normalized log distribution.
The LHS shows the norm-log distribution... compare with normal distribution.