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Solving Exponential and Logarithmic Equations

$6.57
28 Pages | 3,054 Words
John Gillis, PhD (#110764)

This book is a study guide for solving exponential and logarithmic equations. As a prelude to this topic, the exponential and logarithmic functions are graphed and discussed. The properties of exponential and logarithmic expressions are also covered and later used to solve different types of equations. The final section has several types of applications for these types of equations. Each topic includes solved examples and practice exercises. A practice test and answers to exercises are included.

This book is ideal for upper level high school students and college students that are enrolled in college level algebra courses or need to review these topics. In order to understand the content of this book, it is assumed that students have basic knowledge of the laws of exponents including negative and rational exponents.

An Introduction to Solving Exponential and Logarithmic Equations

This book explains how the exponential and logarithmic functions are related to each other as inverse functions. The properties of the exponential and logarithmic expressions are consistent with the laws of exponents and these properties can be used to solve a variety of different types of exponential and logarithmic equations. There are many applications for these types of equations including, compound interest, population growth, and depreciation models.

This book is divided into two main sections. Section one introduces the exponential and logarithmic functions and how they are represented graphically. The inverse relationship and other properties of these functions and expressions are also covered in section one. Section two illustrates the strategies used to solve different types of exponential and logarithmic equations. Properties in the first section are put to use in the solving process. Application problems are then used to show how these types of equations solve real life problems. After completing this text, the reader should be proficient with exponential and logarithmic functions, expressions, and equations.

About the Author

John Gillis, PhD

Active since Feb 2012

My name is John M. Gillis, Ph.D. I have been teaching mathematics since 1994 in Columbus, Georgia. I teach in both high school and college venues and have been an adjunct professor at Columbus State University since 1996. My degrees include a BS in Mathematics from the University of Florida, Med and EdS degrees in Mathematics Education from Columbus State University, a MS in Applied Mathematics from Auburn University, and a Ph.D in Mathematics Education also from Auburn University.
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Before teaching, I spent four years in the U.S. Army. My hobbies include fitness and guitar. To further my career, I have turned to the Internet. I am interested in using my knowledge of mathematics to consult and write. BrainMass has given me the opportunity as an Academic Expert to do both in an online environment.

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