The solution above has an error in the last step. When one tries to solve for x, they must use the definition of logarithms to get back to x. The error lies in the fact that taking the logarithm of a number to a power is not the same as raising that logarithm to that power.
So, instead of:
log x = log533
x = 27
It should be:
x = 53^3 = 125^2 = 15,625
Therefore, the additional step that needs to be completed is to use the definition of logarithms to find x.