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Chapter 23.8
Solving exponential equations with logarithms
What You'll Learn
Convert exponential equations to logarithmic form to isolate variables in the exponent
Apply the change of base rule to evaluate logarithms using a calculator
Solve real-world exponential growth problems by setting up and solving equations
Verify solutions by understanding the relationship between exponential and logarithmic forms
What You'll Practice
1
Isolating exponential terms and converting to logarithmic form
2
Using change of base to find exact decimal values with a calculator
3
Solving word problems involving exponential growth over time
4
Setting up equations to find when exponential functions reach specific values
Why This Matters
Solving exponential equations with logarithms is essential for modeling real-world growth and decay, from compound interest and population growth to radioactive decay. This skill is fundamental in calculus, science courses, and any field involving exponential change over time.
Before You Start — Make Sure You Can:
This Unit Includes
3 Video lessons
Practice exercises
Skills
Logarithms
Exponential Equations
Change of Base
Exponential Form
Logarithmic Form
Word Problems
Exponential Growth
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