Exploring transformations of f(x) = log base b of x

Explore translations of f(x) = log base b (x).

[list=1] [*]What happens when you change the base? [*]What happens when you change only a? [*]What happens when you change only c? [*]What happens when you change only d? [*] Are there any values of the base which are not allowed? Which ones? [*]Are there any values of a, b, c or d which are not allowed? Which ones? [/list]