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Worksheet
Curated OER

The Change of Base Formula: Logarithms

For Students 9th - 12th
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.
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Lesson Plan
TeachEngineering

Teach Engineering: Common and Natural Logarithms and Solving Equations

For Teachers 9th - 10th Standards
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...
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Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Logarithmic Functions

For Students 9th - 10th
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.
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Activity
Anne Arundel Community College

Anne Arundel Community College: Math 131: Change of Base

For Students 9th - 10th
The tutorial examines the change of base formula for logarithms. Students learn about the mathematics concept through examples with detailed solutions.
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Handout
Other

Brown Math: It's the Law Too the Laws of Logarithms

For Students 9th - 10th
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.
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Unknown Type
Khan Academy

Khan Academy: Understanding Rotation of Arbitrary Points

For Students 9th - 10th
Understand how we can derive a formula for the rotation of any point around the origin.
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Unknown Type
Math Notes and Math Tests

Pre Calculus Notes: (More) Properties of Logs [Pdf]

For Students 9th - 10th Standards
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...
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Activity
Windstream

Ojk's Precalculus Study Page: Change of Base Formula

For Students 9th - 10th Standards
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.
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Activity
University of Utah

University of Utah: A Simple Example Logarithms

For Students 9th - 10th Standards
This site from the University of Utah provides a good simple base conversion page.
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Activity
Purple Math

Purplemath: Change of Base

For Students 9th - 10th
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;...