1 / 8

Properties of Logarithmic Functions

Properties of Logarithmic Functions. Objectives: Simplify and evaluate expressions involving logarithms Solve equations involving logarithms. Properties of Logarithms. For m > 0, n > 0, b > 0, and b  1:. Product Property. log b (mn) = log b m + log b n. Example 1.

vallejoc
Download Presentation

Properties of Logarithmic Functions

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. Properties of Logarithmic Functions Objectives: Simplify and evaluate expressions involving logarithms Solve equations involving logarithms

  2. Properties of Logarithms For m > 0, n > 0, b > 0, and b  1: Product Property logb (mn) = logb m + logb n

  3. Example 1 given: log5 12  1.5440 log5 10  1.4307 log5 120 = log5 (12)(10) = log5 12 + log5 10 1.5440 + 1.4307 2.9747

  4. logb = logb m – logb n m n Properties of Logarithms For m > 0, n > 0, b > 0, and b  1: Quotient Property

  5. 12 = log5 10 Example 2 given: log5 12  1.5440 log5 10  1.4307 log5 1.2 = log5 12 – log5 10 1.5440 – 1.4307 0.1133

  6. Properties of Logarithms For m > 0, n > 0, b > 0, and any real number p: Power Property logb mp = p logb m

  7. Example 3 given: log5 12  1.5440 log5 10  1.4307 log5 1254 5x = 125 = 4 log5 125 53 = 125 =4  3 x = 3 = 12

  8. Practice Write each expression as a single logarithm. 1) log2 14 – log2 7 2) log3 x + log3 4 – log3 2 3) 7 log3 y – 4 log3 x

More Related