#### Module 4 – Exponential and Logarithmic Functions

### Learning Objectives

In this module you will become familiar with exponential and
logarithmic functions. You will learn how to quickly sketch and
recognize their graphs and to solve equations in which they appear, and
you will learn how to use them in various applied situations.
After completing this module you should be able to:
- * Recognize applied situations involving exponential functions
and logarithms
- * Quickly sketch rough graphs of exponential, logarithmic, and
related functions
- * State the definition of the number e as a limit and use it to
write formulas for quantities having continuous growth (eg.
“continuously compounded interest”)
- * Convert exponential expressions to logarithmic form and vice
versa
- * Simplify expressions involving logarithms and recognize
equivalent expressions
- * Use logarithms to solve equations involving exponentials and
vice versa
- * Apply these skills in a wide variety of practical situations

Each section of the notes for this module addresses some of these in
more detail.
#### Section-by-Section Learning Objectives

Go To: Introduction Sec 4.0 Sec
4.1 Sec 4.2 Sec 4.3 Sec
4.4 Sec 4.5 Lab