Algebra I / Elem. Algebra
Introduction to Algebra Linear Equations and Inequalities Functions and Graphs I Lines and thier Graphs Linear Systems
Algebra II / E&I Algebra
Exponents & Polynomials Intermediate Algebra starts here!

Factoring Rational Expressions Rational Equations and Applications
Algebra III / Inter. Algebra
Radical Expressions Nonlinear Equations and Applications Functions and Graphs II Exponential and Logarithmic Functions
College Algebra
Equations and Inequalitites Functions and Graphs Polynomial and Rational Functions Exponential and Logarithmic Functions Systems and Matrices Geometry Basics Conic Sections Sequences and Series
Trigonometry
The Six Trigonometric Functions Right Triangle Trigonometry Circular Functions Graphs of Trigonometric Functions Trigonometric Identities Trigonometric Equations Oblique Triangles and the Laws Vectors Complex, Parametric, and Polar Forms
Calculus I
Limits and Continuity Derivatives Analysis of Curves Antiderivatives
Calculus II
Transcendental Functions
Geometry Physics Integration Techniques Calculus of Infinity Parametric, Polar, and Conic Curves
Calculus III
Calculus IV
15.Functions of Several Variables
16.Multiple Integration
17.Vector Analysis

Course: College Algebra
Topic: Exponential and Logarithmic Functions
Subtopic: Exponential and Logarithmic Equations

Overview

Much of the material in this lesson is review from an intermediate algebra course, particularly solving basic exponential or logarithmic equations. Our focus will be to expand on the basic processes, bump up the level of difficulty, and tackle some interesting and challenging equations that integrate several methods of simplifying and solving (e.g. using the properties of logarithms or converting between logarithmic and exponential forms). May your knowledge of these functions grow exponentially ;-)

Objectives

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

• 4.4.1 Algebraically solve exponential equations including those that require converting into logarithmic form or applying a logarithmic function to both sides
• 4.4.2 Algebraically solve exponential equations that have same base throughout and those that contain different bases
• 4.4.3 Algebraically solve logarithmic equations including those that require converting into exponential form or applying an exponential function to both sides
• 4.4.4 Algebraically solve logarithmic equations that require properties or rules of logarithms to simplify
• 4.4.5 Algebraically solve logarithmic equations that have same base logarithm throughout and those that contain different bases
• 4.4.6 Solve exponential and logarithmic equations graphically
• 4.4.7 Recognize equations that can only be solved graphically (i.e. cannot be solved algebraically)
• 4.4.8 Recognize extraneous solutions to exponential and logarithmic equations and those equations that have no solution

Terminology

Define: exponential equation, logarithmic equation

Supplemental Resources (optional)

If you need supplemental tutorial videos with examples relevant to this section go to James Sousa's MathIsPower4U and search for topics below:
"Solving Logarithmic Equations"
"Solving Exponential Equations Without Logarithms"
"Solving Exponential Equations With Logarithms"