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

Isolating exponential terms and converting to logarithmic form

Using change of base to find exact decimal values with a calculator

Solving word problems involving exponential growth over time

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:

Solving for exponents Converting from exponential form to logarithmic form

This Unit Includes

3 Video lessons

Practice exercises

Skills

Logarithms

Exponential Equations

Change of Base

Exponential Form

Logarithmic Form

Word Problems

Exponential Growth

OH Curriculum Aligned