Chapter 28.3

What is a logarithm?


What You'll Learn

Recognize logarithms as the inverse operation of exponential functions
Apply logarithmic notation to express exponential equations in a different form
Solve exponential equations using logarithms to find unknown exponents
Calculate logarithmic values using a calculator to determine exact points in time
Understand how logarithms help solve real-world growth and doubling problems

What You'll Practice

1

Converting exponential equations into logarithmic form

2

Solving for unknown exponents using logarithmic operations

3

Using a calculator to evaluate logarithms with different bases

4

Working through real-world exponential growth problems

Why This Matters

Logarithms unlock your ability to solve exponential equations where the exponent is unknownsomething impossible with basic algebra alone. You'll use logs throughout higher math, science, and finance to model everything from compound interest to population growth to earthquake intensity.

This Unit Includes

1 Video lesson
Practice exercises

Skills

Logarithms
Exponential Equations
Inverse Operations
Exponents
Calculator Skills
Real-World Applications
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