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Outcomes

In this lesson you will

  • Interpret a table of values to find and use equations of exponential functions while addressing a variation of a classical problem.

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.

Introduction

In this section you will solve exponential equations using graphing technology and discover how some exponential equations can be solved algebraically by converting powers to the same base.

Prerequisites

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

  • How to graph exponential functions.
  • How to determine the equation of an exponential function with and without using technology.
  • How to use function notation.