Logarithmic Functions

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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?