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

Author:
Joe DiNoto
Topic:
Logarithm, Translation
Explore translations of f(x) = log base b (x).
  1. What happens when you change the base?
  2. What happens when you change only a?
  3. What happens when you change only c?
  4. What happens when you change only d?
  5. Are there any values of the base which are not allowed? Which ones?
  6. Are there any values of a, b, c or d which are not allowed? Which ones?