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.