Download presentation

1
**Properties of Logarithmic Functions**

Objective: Simplify and evaluate expressions involving logarithms.

5
**Product and Quotient Properties of Logarithms**

For Product Property

6
**Product and Quotient Properties of Logarithms**

For Product Property Quotient Property

7
**Product and Quotient Properties of Logarithms**

For Product Property Quotient Property You can use these properties to evaluate logarithmic expressions.

8
Example 1

9
Example 1

10
Example 1

11
Try This Given that , approximate each expression.

12
Try This Given that , approximate each expression.

13
Try This Given that , approximate each expression.

14
Example 2

15
Example 2

16
Example 2

17
Try This Write each expression as a single logarithm. Then, simplify if possible.

18
Try This Write each expression as a single logarithm. Then, simplify if possible.

19
Try This Write each expression as a single logarithm. Then, simplify if possible.

20
**The Power Property of Logarithms**

For , and any real number p:

21
Example 3

22
Example 3

23
Try This Evaluate

24
Try This Evaluate

25
**Exponential-Logarithmic Inverse Properties**

For b > 0 and :

26
Example 4

27
Example 4

28
Example 4

29
Try This Evaluate each expression.

30
Try This Evaluate each expression.

31
Try This Evaluate each expression.

32
**One-to-One Property of Logarithms**

If , then x = y.

33
Example 5

34
Example 5

35
Example 5

37
Homework Page 382 13-61 odd

Similar presentations

OK

Chapter 4 Exponential and Logarithmic Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc. 1 4.3 Properties of Logarithms.

Chapter 4 Exponential and Logarithmic Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc. 1 4.3 Properties of Logarithms.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google