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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.

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Logarithmic Properties & Functions

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  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

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