find the turning points of the following function and determine whether it is a maximum, minimum or the point of inflection

y=In(4^3)-3x5

I suspect typos

looks like you mean
y = ln(64) - 3x^5
then dy/dx = 0 - 15x^4
= 0 for turning points
15x^4 = 0
x = 0

looks like (0,ln64) is our only point of interest.