Learning Resources

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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.