AP®MathsCollege BoardPrecalculusExponential & Logarithmic Functions

Exponential & Logarithmic Functions (College Board AP® Precalculus)

Get ready for your College Board AP® Precalculus exams with our revision resources. Find everything you need to revise this topic, so you can go into your exam confident and prepared. Teachers and examiners write all our resources, and they’re designed specifically for each exam board. We regularly update them to match the latest syllabus, so you’ll only revise the most accurate, up-to-date information. Explore the collection below to get started.

Sequences & Exponential Functions

  1. Sequence Basics
  2. Arithmetic Sequences
  3. Arithmetic Sequences & Linear Functions
  4. Geometric Sequences
  5. Geometric Sequences & Exponential Functions
  6. Comparing Linear & Exponential Functions
  7. General Exponential Functions
  8. Manipulating Exponential Functions

Composite & Inverse Functions

  1. Composition of Functions
  2. Constructing Composite Functions
  3. Decomposing Functions
  4. Inverse Functions
  5. Determining an Inverse Function
  6. Graph of an Inverse Function

Logarithmic Functions

  1. Logarithmic Expressions
  2. Logarithmic Function Basics
  3. Logarithmic Functions as Inverses of Exponential Functions
  4. Key Characteristics of Logarithmic Functions
  5. Manipulating Logarithmic Functions

Exponential & Logarithmic Equations & Inequalities

  1. Solving Exponential Equations & Inequalities
  2. Solving Logarithmic Equations & Inequalities
  3. Inverses of Exponential & Logarithmic Functions

Modeling with Exponential & Logarithmic Functions

  1. Selecting & Constructing Exponential Models
  2. Applying Exponential Models
  3. Constructing Models from a Data Set
  4. Validating Models
  5. Logarithmic Models
  6. Semi-log Plots

Sequences & Exponential Functions

  1. Multiple Choice Questions
  2. Free Response Questions

Composite & Inverse Functions

  1. Multiple Choice Questions
  2. Free Response Questions

Logarithmic Functions

  1. Multiple Choice Questions
  2. Free Response Questions

Exponential & Logarithmic Equations & Inequalities

  1. Multiple Choice Questions
  2. Free Response Questions

Modeling with Exponential & Logarithmic Functions

  1. Multiple Choice Questions
  2. Free Response Questions
College Board AP® Precalculus Past Papers