4: Exponential and Logarithmic Functions
In this chapter, you will
- Examine exponential and logarithmic functions and their properties
- Identify exponential growth and decay functions and use them to model applications
- Use the natural base e to represent an exponential functions
- Use logarithmic functions to solve equations involving exponential functions
- Use logarithmic and exponential functions to solve equations.
-
- 4.6: Exponential and Logarithmic Equations
- Uncontrolled population growth can be modeled with exponential functions. Equations resulting from those exponential functions can be solved to analyze and make predictions about exponential growth. In this section, we will learn techniques for solving exponential functions.
Thumbnail: False color time-lapse video of E. coli colony growing on microscope slide. This growth can be model with first order logistic equation. Added approximate scale bar based on the approximate length of 2.0 μm of E. coli bacteria. (CC BY-SA 4.0 International; Stewart EJ, Madden R, Paul G, Taddei F ).