Dave4Math / Courses / Exponentials and Logarithmic Functions

Exponentials and Logarithmic Functions

Master exponential and logarithmic functions, including learning about their properties, graphs, solving equations, and applications. With this course, you'll completely understand the connection between exponentials and logarithms.


January 11, 2021

Created by Dave

This course begins Summer 2021.
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Are you lost in your math class? Do you find the teaching to be messy and uninteresting? Introducing Dave’s online math course: Exponentials and Logarithmic Functions. Dave does a great job explaining the basics and is very informative and clear. To be successful, you must learn the why as well as the how.

Who This Course is For

  • Students in college who want to learn more mathematics.
  • Anyone interested in exponentials and logarithmic functions.
  • Students who are enrolled in precalculus and want to improve their grade.
  • Anyone interested in getting prepared for calculus 1.
  • Anyone wanting to learn about exponential functions and their graphs, logarithmic functions and their graphs, properties of logarithms, solving equations with exponentials and logarithms.


There is no required textbook, though you will need an up-to-date web browser, paper, and pen. A hand-held scientific calculator of your choice is required.

What You’ll Learn in Exponentials and Logarithmic Functions

  • Exponential Functions
  • Graphs of Exponential Functions
  • The Natural Base e
  • Applications
  • Logarithmic Functions
  • Graphs of Logarithmic Functions
  • Properties of Logarithms
  • Rewriting Logarithmic Expressions
  • Solving Exponential Equations
  • Solving Logarithmic Equation

Course Description

I recommend the prerequisite course Functions and Their Graphs. If you’re not sure if this course is for you, checkout the course contents below or find out more by checking out my free precalculus articles.

Course Content

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David A. Smith

Mathematics Educator

I sincerely believe that the potential in every student can be unlocked. As an accomplished and dedicated instructor, I have firm confidence that I can provide significant value to your studies.

I relish teaching and use it as a channel for my creativity as I seek to deliver real-life and relevant connections between the mathematics that I teach and my students. Promoting an active learning environment and excitement about mathematics is my dream come true.

David Smith (Dave) has a B.S. and M.S. in Mathematics and has enjoyed teaching precalculus, calculus, linear algebra, and number theory at both the junior college and university levels for over 20 years. David is the founder and CEO of Dave4Math.