html5-img
1 / 36

Logarithmic Properties & Functions

Logarithmic Properties & Functions. By: Jeffrey Bivin Lake Zurich High School jeff.bivin@lz95.org. Last Updated: January 30, 2008. Properties of Logarithms. Product Property Quotient Property Power Property Property of Equality. Jeff Bivin -- LZHS. Product Property. multiplication.

base
Download Presentation

Logarithmic Properties & 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. Logarithmic Properties & Functions By: Jeffrey Bivin Lake Zurich High School jeff.bivin@lz95.org Last Updated: January 30, 2008

  2. Properties of Logarithms • Product Property • Quotient Property • Power Property • Property of Equality Jeff Bivin -- LZHS

  3. Product Property multiplication addition multiplication addition Jeff Bivin -- LZHS

  4. Product Property Jeff Bivin -- LZHS

  5. Quotient Property division subtraction division subtraction Jeff Bivin -- LZHS

  6. Quotient Property Jeff Bivin -- LZHS

  7. Power Property p logb(mp) logb(mp) = p•logb(m) Jeff Bivin -- LZHS

  8. Power Property Jeff Bivin -- LZHS

  9. Property of Equality Jeff Bivin -- LZHS

  10. Expand product property power property Jeff Bivin -- LZHS

  11. Expand quotient property product property power property Jeff Bivin -- LZHS

  12. Expand quotient property product property distributive property power property Jeff Bivin -- LZHS

  13. Condense ( ( power property product property quotient property Jeff Bivin -- LZHS

  14. Condense ( ( Power property group / factor product property quotient property Jeff Bivin -- LZHS

  15. Condense Power property ( ( re-organize group product property quotient property Jeff Bivin -- LZHS

  16. Solve for x Property of Equality We must check for false solutions! Jeff Bivin -- LZHS

  17. Solve for x checks! Jeff Bivin -- LZHS

  18. Solve for x Solution Jeff Bivin -- LZHS

  19. Solve for n Condense left side Property of Equality We must check for false solutions! Jeff Bivin -- LZHS

  20. Solve for n checks! Jeff Bivin -- LZHS

  21. Solve for n Solution Jeff Bivin -- LZHS

  22. Solve for x Condense left side Convert to exponential form We must check for false solutions! Jeff Bivin -- LZHS

  23. Solve for x fails The argument must be positive checks! Jeff Bivin -- LZHS

  24. Solve for x Solution Jeff Bivin -- LZHS

  25. Solve for x Convert to exponential form We must check for false solutions! Jeff Bivin -- LZHS

  26. Solve for x checks! checks! Jeff Bivin -- LZHS

  27. Solve for x Solution Jeff Bivin -- LZHS

  28. Solve for x Jeff Bivin -- LZHS

  29. Solve for x Jeff Bivin -- LZHS

  30. Solve for x Jeff Bivin -- LZHS

  31. Solve for x Jeff Bivin -- LZHS

  32. Solve for x Jeff Bivin -- LZHS

  33. Solve for x Jeff Bivin -- LZHS

  34. Solve for x Jeff Bivin -- LZHS

  35. Solve for x Jeff Bivin -- LZHS

More Related