Lesson Planet
Search educational resources
  • Sign In Try It Free
  • AI Teacher Tools
    • Discover Resources Search reviewed educational resources by keyword, subject, grade, type, and more
    • Curriculum Manager (My Content) Manage saved and uploaded resources and folders To Access the Curriculum Manager Sign In or Join Now
    • Browse Resource Directory Browse educational resources by subject and topic
    • Curriculum Calendar Explore curriculum resources by date
    • Lesson Planning Articles Timely and inspiring teaching ideas that you can apply in your classroom
    • Our Story
    • Frequently Asked Questions
    • Testimonials
    • Contact Us
  • Pricing
  • School Access
    • Your school or district can sign up for Lesson Planet — with no cost to teachers
      Learn More
  • Sign In
  • Try It Free

Hi, what do you want to do?

Create a lesson plan
Create a lesson plan
Generate resources with 80+ AI teacher tools
Generate resources with 80+ AI teacher tools
Search 200,000 instructional videos
Search 200,000 instructional videos
Find a teaching resource
Find a teaching resource
Proof: A(logB) = log (B^A), log A - log B = log (A/B) Instructional VideoProof: A(logB) = log (B^A), log A - log B = log (A/B) Instructional Video
Publisher
Khan Academy
Resource Details
Curator Rating
Educator Rating
Not yet Rated
Grade
9th - 12th
Subjects
Math
2 more...
Resource Type
Instructional Videos
Media Length
7:59
Audiences
For Teacher Use
1 more...
Duration
10 mins
Instructional Strategies
Flipped Classroom
1 more...
Accessibility
Closed Captions
1 more...
Year
2007
Usage Permissions
Creative Commons
BY-NC-SA: 3.0
cc
Instructional Video

Proof: A(logB) = log (B^A), log A - log B = log (A/B)

Curated and Reviewed by Lesson Planet

Here are the proofs for two logarithm properties. First, the Power Property of Logarithms is proved using the definition of a logarithm and the rules of exponents, and then the Quotient Property is proved in a similar fashion.

5 Views 4 Downloads

Concepts

logarithms

Additional Tags

logarithm, logarithm property, proof of quotient property for logarithms, proof of the power property of logarithms, math

Classroom Considerations

  • This video is hosted on YouTube

See similar resources:

Lesson Plan

Solving Logarithmic Equations

EngageNY
Of course you're going to be solving an equation—it's algebra class after all. The 14th installment of a 35-part module first has pupils converting logarithmic equations into equivalent exponential equations. The conversion allows for...
10th - 12th Math
CCSS: Designed
Lesson Plan

The Most Important Property of Logarithms

EngageNY
Won't the other properties be sad to learn that they're not the most important? The 11th installment of a 35-part module is essentially a continuation of the previous activity, using logarithm tables to develop properties. Scholars...
9th - 12th Math
CCSS: Designed
Lesson Plan

Why Were Logarithms Developed?

EngageNY
Show your class how people calculated complex math problems in the old days. Scholars take a trip back to the days without calculators in the 15th installment of a 35-part module. They use logarithms to determine products of numbers and...
10th - 12th Math
CCSS: Designed
Instructional Video

Introduction to Logarithm Properties (Part 2), Logarithms

Khan Academy
Sal gets to the heart of this video, clarifying that it's important to understand math "so you can apply it later on and not have to relearn everything every time." True to his word, Sal demonstrates ways to solve logs and exponents more...
10 mins 7th - 9th Math
Instructional Video

Change of Base Formula Proof, Logarithms, Algebra II

Khan Academy
This video proves the helpful change of base formula for logarithms. The proof steps may need to be more intuitive to most logarithm learners, but the algebraic manipulation shown using logs is interesting.
5 mins 9th - 12th Math
Interactive

Logarithm Properties: The Log Properties

CK-12 Foundation
Roll a log into an equivalent expression. Given four expanded logarithmic expressions, pupils write an equivalent condensed expression. They identify which properties allows for the simplification.
11th - Higher Ed Math
CCSS: Designed
Instructional Video

Khan Academy: Logarithm Properties: Proof: Log a + Log B = Log Ab

Khan Academy
Proof of the logarithm property: log a + log b = log ab
9th - 10th Math
Instructional Video

How Do You Express a Logarithm in Terms of Common Logarithms?

Curated OER
Logarithms can be a little tricky and if you'd like to use a calculator you'll need to use a formula to change the given logarithm into base ten. This tutorial defines the formula, uses it to change a logarithm to base ten, then how to...
5 mins 10th - 12th Math
Handout

Properties of Logarithmic Functions

Shoreline Community College
Use a straightforward approach to understanding logarithmic properties and their role in solving exponential and logarithmic equations to your math class. The lesson begins with an overview of a logarithmic function and its...
9th - 12th Math
CCSS: Adaptable
Instructional Video

Khan Academy: Logarithm Properties: Proof

Khan Academy
Proofs of the logarithm properties: A(log B) = log (B^A) and log A - log B = log (A/B)
9th - 10th Math
CCSS: Adaptable
Try It Free
© 1999-2026 Learning Explorer, Inc.
Teacher Lesson Plans, Worksheets and Resources

Sign up for the Lesson Planet Monthly Newsletter

Open Educational Resources (OER)

  • Health
  • Language Arts
  • Languages
  • Math
  • Physical Education
  • Science
  • Social Studies
  • Special Education
  • Visual and Performing Arts
View All Lesson Plans

Discover Resources

  • Our Review Process
  • How it Works
  • How to Search
  • Create a Collection

Manage Curriculum

  • Edit a Collection
  • Assign to Students
  • Manage My Content
Contact Us Site Map Privacy Policy Terms of Use