Name ______________________________
Period 7
Date ________________
College Algebra
Test 3- Exponential and Logarithmic Functions (Chapter 4 Test)
Review Topics
Section 4.1- Exponential Functions
 Evaluating Exponential Functions
 Graphing Exponential Functions and their Transformations
 General Characteristics of Exponential Functions Including Asymptotes
 The Natural Base and The Natural Exponential Function
 Compounding and Continuously Compounding Interest (need to memorize formulas)
Section 4.2- Logarithmic Functions
 Definition of Logarithms
o Writing logarithms in exponential form
o Writing exponentials in log form
 Evaluating Logarithms
 Basic Logarithm Properties Involving 1 and Inverse Log Properties
 Graphing Logarithmic Functions and their Transformations
 General Characteristics of Logarithmic Functions Including Asymptotes
 Finding the Domain of Logarithms
 Common and Natural Logarithms and their Properties
Section 4.3- Properties of Logarithms (Logarithms Rules)
 The Product Rule
 The Quotient Rule
 The Power Rule
 Expanding Logarithms
o Properties for Expanding Logarithmic Expressions
 Condensing Logarithms
o Properties for Condensing Logarithmic Expressions
 Change of Base Property of Logs
Section 4.4- Exponential and Logarithmic Equations
 Solving Exponential Equations
o Method 1- “Same Base” Method
o Method 2- “Taking the log or the ln of Both Sides” Method
 Solving Logarithmic Equations
o Method 3- “Definition of Logarithms” Method
o Method 4- “One-to-One Property of Logs” Method
Section 4.5
 Exponential Growth and Decay Model (need to know the formula)
 Modeling Growth (finding the growth model and applying it)
 Modeling Decay (finding the decay model and applying it)