Logs, Rewritten: Powers that Move

Logs, Rewritten: Powers That Move

Logarithms often become confusing when the rules appear before the meaning.

This short lesson focuses on one idea: a logarithm asks for a power.

Students learn how powers interact with logarithms by rewriting expressions, expanding carefully, and counting powers — instead of memorizing rules and hoping they work.

The power rule is introduced only after the structure is clear, so it feels natural rather than arbitrary.

This lesson is designed to reduce hesitation, build confidence, and help students trust their own abilities.

What’s included

• A clear, step-by-step lesson written in plain language
• Worked examples with numbers and variables
• A teaching note that connects understanding to the power rule
• Practice questions to apply the ideas
• Full solutions included at the end of the PDF

Who this is for

• Students who need meaning before formulas
• Learners who know the rules but aren’t sure why they work
• Middle school and early high school students
• Review, intervention, homework, or small-group instruction
• Tutors and homeschoolers

Approx. time: 15–25 minutes

Format: PDF download

Created by: Learning Simply