Calculus on Demand at Dartmouth College Lecture 3 | Index | Lecture 5 Lecture 4

## Resources

Math 3 Course Syllabus
Practice Exams

# Contents

In this lecture we will discuss exponential and logarithmic functions, and their graphs. These functions turn out be very useful in modeling growth of populations. They are central to formulas for compound interest in banking and in computing ages of objects using radioactive decay.

### Quick Question

What is the relationship between the graphs of ex and ln(x)?

### Outline

Outline for Exponential and Logarithmic Functions

### Textbook

Exponential and Logarithmic Functions

### Quiz

Exponential and Logarithmic Functions Quiz

### Examples

• Find the ground noise created by an airplane
• Find the inverse of an exponential function
• Find all solutions to the equation ln(x + 4) = 2ln(x) – ln(2)

### Applets

• Exponential Curves

### Videos

• graphs of ex and e(.5x)
• If e(2x +7) = 5, what is x?
• Graphing ln x
• If ln(3x2) = 10 what is x?

Lecture 3 | Index | Lecture 5