Logarithm Properties and Base Change
Grade 11th Grade · Math · 20 min
What's Included
Learning Objective
I can use the properties of logarithms to rewrite expressions and apply the change of base formula to evaluate logarithms including natural logs. I can find exact values for logs without calculators
Warm-Up Video
Professor Dave Explains · 7:06
Logarithms Part 3: Properties of Logs, Expanding Logarithmic Expressions
Guided Notes
3 key concepts
- 1
If the base of the log and the number that the log operates on are the same, the result will be one, because anything to the first power equals itself, but if we are taking the log of one, the result will always be zero, regardless of the base.
- 2
Logarithms are essentially exponents, so log of AB equals log of A plus log of B, and log of A/B equals log of A minus log of B.
- 3
The three ways to expand logarithmic expressions are the product rule, the quotient rule, and the power rule.
Practice Questions
3 questions · Short answer
Exit Ticket
Quick comprehension check
“Simplify the expression: log₃(9x²) - log₃(x)”
Complete Lesson Package
Get all 3 ready-to-use resources:
