Learning Resources

Outcomes

In this lesson you will

• Express certain powers to different bases.
• Use the power rule to change the base of powers.
• Solve exponential equations by interpreting a graph of the corresponding exponential function.
• Solve exponential equations by using algebraic manipulation.

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

• Demonstrate an understanding of the role of real numbers in exponential and logarithmic expressions and equations.
• Apply real number exponents in expressions and equations.
• Demonstrate an understanding of the relationships that exist between arithmetic operations and the operations used when solving equations.
• Solve exponential and logarithmic equations.
• Solve problems involving exponential and logarithmic equations.
• Model real world phenomena using exponential functions.
• Describe and translate between graphical, tabular, written, and symbolic representations of exponential and logarithmic relationships.

Prerequisites

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

• How to graph exponential functions.
• How to use function notation.
• An understanding of zero and negative exponents.
• The rules for exponential multiplication and division.
• The multiplication and addition rules for rearrange equations.