1. 3.3 Properties of Logarithms 2015

2. HWQ Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 Find the Domain, Vertical Asymptote, and x-intercept. Sketch a graph:

3. Change of base Formula 1) log 4 25 2) log 2 12 Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 3 = 2.3219 = 3.5850 To change the base, take the log of the tall over the log of the small.

4. 1. If then 2. 3. 4. 5. 6. Properties of Logarithms

5. Use properties of logarithms to expand each expression: 1) 2) 3) Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 5

6. Solve for x. a. b. Simplify. c.

7. Example: Use the product property to verify:

8. Use the properties of logarithms to rewrite and simplify the logarithmic expression. Example

9. Use the properties of logarithms to expand each expression: a. b. Example

10. Use the properties of logarithms to expand: Example

11. Use the properties of logarithms to condense (write as a single log): Examples

12. Use the properties of logarithms to condense (write as a single log): Examples

13. Use the properties of logarithms to condense (write as a single log): Examples

14. Use the properties of logarithms to condense (write as a single log): Examples

15. Use the properties of logarithms to condense (write as a single log): Examples

16. Day 1: Pg. 203: 9-41 odd, 45-61 odd, 67, 79 Day 2: Properties of logs WS And optional: pg. 239 #32-36, 41-44, and 69-76. Homework

17. HWQ 9/19 Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 17 Condense the expression to the logarithm of a single quantity: