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Logarithmic Properties & Functions By: Jeffrey Bivin Lake Zurich High School Last Updated: January 30, 2008.

Published bySuzanna Maude Gaines Modified over 9 years ago

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Presentation on theme: "Logarithmic Properties & Functions By: Jeffrey Bivin Lake Zurich High School Last Updated: January 30, 2008."— 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 multiplicationaddition multiplicationaddition Jeff Bivin -- LZHS

4 Product Property Jeff Bivin -- LZHS

5 Quotient Property divisionsubtraction divisionsubtraction Jeff Bivin -- LZHS

6 Quotient Property Jeff Bivin -- LZHS

7 Power Property log b (m p ) log b (m p ) = plog b (m) p 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 power property distributive property Jeff Bivin -- LZHS

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

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

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

16

17 Solve for x Jeff Bivin -- LZHS Property of Equality

18 Solve for x checks! Jeff Bivin -- LZHS

19 Solve for x Jeff Bivin -- LZHS

20 Solve for n Jeff Bivin -- LZHS Condense left side Property of Equality

21 Solve for n checks! Jeff Bivin -- LZHS

22 Solve for n Jeff Bivin -- LZHS

23 Solve for x Jeff Bivin -- LZHS Condense left side Convert to exponential form

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

25 Solve for x Jeff Bivin -- LZHS

26 Solve for x Jeff Bivin -- LZHS Convert to exponential form

27 Solve for x checks! 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

36 Solve for x Jeff Bivin -- LZHS

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