1 / 19

Properties of Logarithmic Functions Objectives:

Section 6.4. Properties of Logarithmic Functions Objectives: Simplify and evaluate expressions involving logarithms. Solve equations involving logarithms. Standard: 2.8.11.N. Solve equations. Product and Quotient Properties of Exponents

lerato
Download Presentation

Properties of Logarithmic Functions Objectives:

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. Section 6.4 • Properties of Logarithmic Functions • Objectives: • Simplify and evaluate expressions involving logarithms. • Solve equations involving logarithms. • Standard: • 2.8.11.N. Solve equations.

  2. Product and Quotient Properties of Exponents am • an = am+n Product Property am/an = am-n Quotient Property (am)n = am*n Power Property

  3. Product and Quotient Properties of Logarithms For m > 0, n > 0, b > 0, and b ≠ 1: Product Property logb (mn) = logbm + logbn Quotient Property logb (m/n) = logbm – logbn ** Just like the exponent rules!

  4. A. log2 12 = log2 (2 ● 2 ● 3) = log2 2 + log2 2 + log2 3 ≈1 + 1 + 1.5850 ≈3.5850

  5. B. log2 1.5 = log2 3/2 = log2 3 – log2 2 ≈1.5850 - 1 ≈0.5850

  6. C. log 2 18 D. log2 .75

  7. Write each expression as a single logarithm. Then simplify, if possible. A. log3 10 – log3 5 B. logb u + logb v – logb uw

  8. C. log4 18 – log4 6 D. logb 4x - logb 3y + logb y

  9. Power Property of Logarithms For m > 0, b > 0, b ≠ 1, and any real number p: logb mp = p logb m Ex 3. Evaluate log5 254 Log5 254 = 4 log5 25 = 4 ● 2 = 8

  10. Power Property of Logarithms Ex 4. Evaluate log3 27100

  11. Exponential- Logarithmic Inverse Properties: For b > 0, b ≠1: logb bx = x and blogbx = x for x > 0. A. 3log34 + log5 25 B. log2 32 – 5log53

  12. C. 7log711 + log381 D. log885 +3log38

  13. Homework Integrated Algebra II- Section 6.4 Level A Honors Algebra II- Section 6.4 Level B

More Related