This section is an exploration of logarithmic functions, their uses and their mechanics.

By the end of this section students should be able to:
  • Identify the relationship between logarithmic functions and exponential functions.
  • Utilize logarithms to solve for variables in exponential functions and equalities.
  • Utilize properties of logarithmic functions to expand or condense logs.
  • Utilize the change of base formula to deal with logs of different bases.

In this section we aim to answer the following questions

  • What role do logarithms play mechanically?
  • Where do logs come from?
  • Where do we see logs come up “naturally”?
  • What are the properties of logs and why do we care?