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Logarithms Year 11 Maths Extension. Logarithms Examples.

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Presentation on theme: "Logarithms Year 11 Maths Extension. Logarithms Examples."— Presentation transcript:

1 Logarithms Year 11 Maths Extension

2 Logarithms

3 Examples

4 Answers

5 What Similarity Can you see in the Next slide to do with the Logarithm Laws?

6 Logarithm Laws

7 Compare

8 The index laws can be used to establish corresponding rules for calculations involving logarithms. It is important to remember that each rule works only if the base, a, is the same for each term.

9 Solve The following Questions (“,)

10 Answers

11 Solve

12 Answer

13 Solve

14 Answer (a)

15 Answer (b)

16 Answer (c)

17 CALCULATOR TIME!!!!

18

19 Logarithms to the base 10

20 Solving logarithmic equations

21 Examples

22 Examples

23 Examples

24 Examples

25 Points to Remember!!!!

26 logarithmic graphs

27 Note your Rules!!!! A > 0 and m, n > 0

28 Plotting logarithmic graphs steps for plotting this graph: y10 y xx, y 10 -1 1/10(1/10, -1) 010 0 1(1, 0) 110 1 10(10, 1)

29 Plotting logarithmic graphs y10 y xx, y 10 -1 1/10(1/10, -1) 010 0 1(1, 0) 110 1 10(10, 1)

30 Example y2y2y xx, y 2 -1 1/2(1/2, -1) 02020 1(1, 0) 12121 2(2, 1) 22 4(4, 2)

31


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