1 / 14

4.4 – Properties of Logarithms

4.4 – Properties of Logarithms. Objective : Students will be able to use properties to simplify logarithmic expressions. . Simplify. 1. (2 6 )(2 8 ) 2. (3 –2 )(3 5 ) 3. 4. . Product Property of Logarithms. Remember that to multiply powers with the same base, you add exponents.

pete
Download Presentation

4.4 – Properties of Logarithms

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. 4.4 – Properties of Logarithms Objective: Students will be able to use properties to simplify logarithmic expressions.

  2. Simplify • 1. (26)(28) • 2. (3–2)(35) • 3. • 4.

  3. Product Property of Logarithms • Remember that to multiply powers with the same base, you add exponents.

  4. This property also works backwards… Helpful Hint Think: logj+ loga+ logm = logjam

  5. Example 1 • Directions: Express each logarithm as a single logarithm. Then simplify if possible. • log64 + log69

  6. Example 2 • log5625 + log525

  7. Example 3… your turn • log27 + log

  8. Caution Just as a5b3 cannot be simplified, logarithms must have the same base to be simplified. Quotient Property of Logarithms • Remember that to divide powers with the same base, you subtract exponents

  9. Example 4 • Directions: Express each logarithm as a single logarithm. Simplify, if possible. • log5100 – log554

  10. Example 5 • log749 – log77

  11. Power Property of Logarithms • Because you can multiply logarithms, you can also take powers of logarithms.

  12. Example 6 • Express as a product. Simplify, if possible. • A. log2326 B. log8420

  13. Example 7 • Express as a product. Simplify, if possible. • a. log104 b. log5252

  14. Homework for tonight • Homework # _____ • Textbook pg. 260 # 20, 21, 23, 24, 26, 27, 28, 31

More Related