Learning Resources
Outcomes
In this lesson you will
- interpret a table of values to find and use equations of exponential functions while addressing an interesting problem
By the end of this section students will be able to:
- demonstrate an understanding of the role of real numbers in exponential and logarithmic expressions and equations
- apply real number exponents in expressions and equations
- demonstrate an understanding of the relationships that exist between arithmetic operations and the operations used when solving equations
- solve exponential and logarithmic equations
- solve problems involving exponential and logarithmic equations
- model real-world phenomena using exponential functions
- describe and translate between graphical, tabular, written, and symbolic representations of exponential and logarithmic relationships
Introduction
Mathematical Modeling, Book 3 p.156 - 162
You have already unknowingly solved exponential equations using technology. When you use a graph or a table of values to find the x values for a given y value, you are solving an equation. For example, if you use the graph or table of values for 
you can find the value of x for y = 48 as in Section 01, lesson 02. You are solving an exponential equation.
You will discover in this section that some exponential functions can be solved algebraically by converting powers to the same base on both sides of the equation.
This section should take 2.5 hours to complete.
Prerequisites
To be successful in this lesson, it would be helpful to know the following:
- determining the equation of exponential functions without using technology
- using function notation