1 / 19

3.4

3.4. Demana, Waits, Foley, Kennedy. Properties of Logarithmic Functions. What you’ll learn about. Properties of Logarithms Change of Base Graphs of Logarithmic Functions with Base b Re-expressing Data … and why The applications of logarithms are based on their many

jessehamilton
Download Presentation

3.4

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 3.4 Demana, Waits, Foley, Kennedy Properties of Logarithmic Functions

  2. What you’ll learn about • Properties of Logarithms • Change of Base • Graphs of Logarithmic Functions with Base b • Re-expressing Data … and why The applications of logarithms are based on their many special properties, so learn them well.

  3. Adding Logarithms • Evaluate and rewrite as a single log expression log10 + log100 = _______ = log( ) log10 + log1000 =_______ = log( ) log10 + log10 = _______ = log( ) logA + logB = log( ) Why does this work?

  4. Subtracting Logarithms • Evaluate and rewrite as a single log expression log1000 - log10 = _______ = log( ) log100 - log10 =_______ = log( ) log10 – log.01 = _______ = log( ) logA - logB = log( ) Why does this work?

  5. Logarithms with exponents

  6. Properties of Logarithms

  7. Example: Proving the Product Rule for Logarithms

  8. Solution

  9. Example: Expanding the Logarithm of a Product

  10. Solution

  11. Example: Condensing a Logarithmic Expression

  12. Solution

  13. Example: Evaluating Logarithms by Changing the Base

  14. Solution

  15. Change-of-Base Formula for Logarithms

  16. Example: Transforming Logarithmic Graphs

  17. Solution

  18. Solution

  19. Solution

More Related