Yes, so far so good.
Equate to zero now.
If you want, you can make a substitution of the type to help you.
Find the co ordinates of the turning point of the curve
and determine whether this point is a local max or local min.
I've differentiated this and put it = to 0 and got
is that right? In the answer it says that x is loge^3/2 how do I change the e to log?