I was working on a integration problem involving $3^u$ and noticed something weird.
If you assign the value $x = e^3$ then you have that $3^u = ln x^u$. This is also equal to $ulnx$.
Heres the weird part $ulnx = u lne^3 = 3u$. I cant find any explanation for this and can't find a way t prove its wrong other than my common sense. Please can anyone help me.