Curated OER
The Change of Base Formula: Logarithms
In this logarithms worksheet, students solve 25 short answer problems. Students use the change of base formula to solve each logarithmic expression in the calculator.
TeachEngineering
Teach Engineering: Common and Natural Logarithms and Solving Equations
Learners continue an examination of logarithms in the Research and Revise stage by studying two types of logarithms--common logarithms and natural logarithm. In this study, they take notes about the two special types of logarithms, why...
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Logarithmic Functions
Learn about the following properties of logarithms: product rule, quotient rule, power rule, and change of base formula. This tutorial offers simple example of each as well as practice exercises for you to complete and check.
Anne Arundel Community College
Anne Arundel Community College: Math 131: Change of Base
The tutorial examines the change of base formula for logarithms. Students learn about the mathematics concept through examples with detailed solutions.
Other
Brown Math: It's the Law Too the Laws of Logarithms
The laws of logarithms (which flow directly out of the laws of exponents) are discussed here. Combining logs with the same base and the Change of Base Formula are also explained in straightforward language for the reader.
Khan Academy
Khan Academy: Understanding Rotation of Arbitrary Points
Understand how we can derive a formula for the rotation of any point around the origin.
Math Notes and Math Tests
Pre Calculus Notes: (More) Properties of Logs [Pdf]
The resource investigates properties of logarithmic functions. Topics examined are laws of exponents, expanding logarithmic expressions, condensing logarithmic expressions, and the change of base formula. Class notes and examples are...
Windstream
Ojk's Precalculus Study Page: Change of Base Formula
An introduction to logarithms with bases other than 10 and e, and how to work with them when solving equations. This tutorial includes lots of examples and exercises with solutions.
University of Utah
University of Utah: A Simple Example Logarithms
This site from the University of Utah provides a good simple base conversion page.
Purple Math
Purplemath: Change of Base
This section of a Purplemath lesson gives the formula for a change of base with several examples. The lesson gives examples of typical problems involving changing the base of logarthims including: evaluating, converting to another base;...