Learning Resources

Outcomes

In this lesson you will

• Make and test conjectures to discover the three laws of logarithms.

By the end of this section you should be able to:

• Demonstrate an understanding of the properties of logarithms and apply them.
• Solve problems involving exponential and logarithmic equations.
• Solve exponential and logarithmic equations.
• Demonstrate an understanding of the relationships that exist between arithmetic operations and operations used when solving equations.
• Apply real number exponents in expressions and equations.
• Model real-world phenomena using exponential functions.

Introduction

In this section you will develop and use the laws of logarithms to simplify expressions that involve logarithms.

Prerequisites

To be successful in this lesson, it would be helpful to know the following:

• How to determine the equation of exponential functions without using technology.
• The meaning of zero, negative, and rational exponents.
• How to convert from logarithmic to exponential form and vice versa.