Logarithmic Functions
Instructions
- The first 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.
Concepts
- 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
Exercises
Directions: You should attempt to solve the problems first and then watch the video to see the solution.
- Expand the following logarithmic expression: \[\log_5\left( \dfrac{3x^4}{25y^2}\right)^7\]
- Condense the following logarithmic expression into a single logarithm: \[4\ln(x)-3\ln(x+5)+\ln \left(x^2+1\right)\]
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