Logarithmic Functions
Instructions
- The introductory videos below explain the concepts in this section.
- This page also includes exercises that you should attempt to solve yourself. You can check your answers and watch the videos explaining how to solve the exercises.
When you are done, you can use the graph to pick another section or use the buttons to go to the next section.
Learning Objectives
- Explaining the basic terminology and rules of logarithms
- Explaining the basic properties of logarithmic functions such as the graph, domain, range, end behavior, asymptotes, and \(x\)-intercepts
- Expanding or condensing logarithmic expressions using the logarithm rules
Concept Video(s)
Exercises
1.
\(7\log_5(3)+28\log_5(x)-14-14\log_5(y)\)
2.
\[\ln\left(\dfrac{x^4\left(x^2+1\right)}{(x+5)^3}\right)\]