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Math
Intermediate Algebra
Exponential and Logarithmic Functions

Exponential and Logarithmic Functions

In this chapter, we will introduce two new types of functions, exponential functions and logarithmic functions. These functions are used extensively in business and the sciences.

Sections

  • Finding Composite and Inverse Functions — finding and evaluating composite functions, determining whether a function is one-to-one, and finding inverse functions.
  • Evaluate and Graph Exponential Functions — graphing exponential functions, solving exponential equations, and using exponential models for growth, decay, and compound interest.
  • Evaluate and Graph Logarithmic Functions — converting between exponential and logarithmic forms, evaluating and graphing logarithmic functions, solving logarithmic equations, and using logarithmic models.
  • Use the Properties of Logarithms — expanding and condensing logarithmic expressions with the properties of logarithms and using the Change-of-Base Formula.
  • Solve Exponential and Logarithmic Equations — solving logarithmic equations with logarithm properties, solving exponential equations with logarithms, and using exponential models in applications.

This chapter is adapted from Intermediate Algebra 2e, Chapter 10: Exponential and Logarithmic Functions by Lynn Marecek and Andrea Honeycutt Mathis, © OpenStax, licensed under CC BY-NC-SA 4.0.

Solve Quadratic InequalitiesFinding Composite and Inverse Functions