1. Properties of Logarithms
Chapter Dr. Guram
Algebra II /31/16

2. Focus Questions
How do we rewrite logarithmic expressions?
How do we apply the product, quotient, and power properties of logarithms?

3. Curriculum standards
TN SPI (Associated Tennessee Learning Expectations)
Prove basic properties of logarithms using properties of exponents and apply those properties to solve problems.
Sources:
Spring Board Algebra 2 Textbook

4. Academic language
Base: The number or expression that is used as a factor in a repeated multiplication.
Product Property: next slide
Quotient Property: next slide
Power Property: next slide

5. Properties of Logarithms

6. Properties of Logs Example 1

7. Properties of Logs Example 1

8. Properties of Logs Example 1

9. Properties of Logs Example 1

10. Properties of Logs Example 1

11. Guided Practice Examples

12. Expand a Logarithm Expression: Example 2

13. Example 2 Answer

14. Standardized Test Practice Example 3

15. Standardized Test Solution Example 3

16. Change of Base Formula

17. Example 4: Change of Base Formula

18. Example 4 Solution

19. Practice Problems

20. How do we rewrite logarithmic expressions?
Review
How do we rewrite logarithmic expressions?
How do we apply the product, quotient, and power properties of logarithms?

21. Review of terms Explain and define the mathematical terms:
product property of logarithms
quotient property of logarithms
power properties of logarithms
change of base formula

22. Class and HW Problems
7.5 Worksheet