Course: College Algebra
Topic: Exponential and Logarithmic Functions
Subtopic: Properties of Logarithms


Since much of the material in this lesson is review from an intermediate algebra course, our focus here will be to expand on the basic topics, bump-up the level of difficulty, and get properties/rules of logarithms down really well. As you work through the material, try to understand why the property/rule holds and what algebraic moves would violate the property/rule.


By the end of this topic you should know and be prepared to be tested on:


Terms you should be able to define: expand vs. condense, change of base

Text Notes

Take note of all the properties and rules given in this section. Have a good note sheet handy for the quiz. The change of base formula is used to convert a logarithm to a ratio of natural logs -- very useful for evaluating logarithmic expressions, graphing logarithmic functions, and solving logarithmic equations.

Mini-Lectures and Examples

STUDY: Logarithmic Functions and Graphs & Properties of Logarithms

Supplemental Resources (optional)

If you need supplemental tutorial videos with examples relevant to this section go to James Sousa's MathIsPower4U and search for topic: "Using the Properties Logarithms". Some will be review material from Intermediate Algebra and some will be the more challenging level of this course.

rev. 2020-10-20