Module 4: Exponential & Logarithmic Functions
Explore exponential growth and decay, logarithmic properties, and real-world applications
Your Progress
Complete all lessons, practice, and assessments to earn your Module 4 badge!
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Learning Objectives
By the end of this module, you will be able to:
- Evaluate and graph exponential functions with various bases including e
- Model real-world exponential growth and decay scenarios including compound interest and population dynamics
- Convert between exponential and logarithmic forms and evaluate logarithms
- Apply logarithmic properties to expand, condense, and simplify logarithmic expressions
- Solve exponential and logarithmic equations using algebraic techniques and change of base formula
- Apply exponential and logarithmic models to solve authentic problems in science, finance, and engineering
Lessons
Work through each lesson in order. Each lesson includes examples, interactive visualizations, and check-your-understanding questions.
Exponential Functions
Explore exponential function properties, graphs, growth and decay models, and the natural base e.
Logarithmic Functions
Understand logarithms as inverse functions, convert between forms, and graph logarithmic functions.
Properties of Logarithms
Master logarithm properties including product, quotient, power rules, and change of base formula.
Exponential & Logarithmic Equations
Solve equations involving exponentials and logarithms, and apply to real-world applications.
Assessments & Practice
Pre-Assessment
5 questions to gauge your starting knowledge
Not StartedPractice Problems
20 comprehensive problems with detailed solutions
Not StartedModule Quiz
15-question quiz (70% to pass)
Not StartedPost-Assessment
5 questions to measure your learning gains
Not StartedStudy Materials
Ready to Begin?
Start with the pre-assessment to see what you already know!