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10.2 Logarithms and Logarithmic functions. Graphs of a Logarithmic function verse Exponential functions In RED y = 10 x.

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Presentation on theme: "10.2 Logarithms and Logarithmic functions. Graphs of a Logarithmic function verse Exponential functions In RED y = 10 x."— Presentation transcript:

1 10.2 Logarithms and Logarithmic functions

2 Graphs of a Logarithmic function verse Exponential functions In RED y = 10 x

3 Graphs of a Logarithmic function verse Exponential functions In RED y = 10 x, In Blue y = Log x The functions relate in which way?

4 The Main Concept of Logarithms Remember the way an exponential function and a Logarithm function is related.

5 The Main Concept Remember

6 Write in Exponential form Log 4 16 = 2

7 Write in Exponential form Log 4 16 = 2

8 Write in Logarithmic form 5 3 = 125

9 Write in Logarithmic form 5 3 = 125

10 How to use the Concept to Solve problems Evaluate

11 How to use the Concept to Solve problems Evaluate

12 How to use the Concept to Solve problems Evaluate

13 How to use the Concept to Solve problems Evaluate

14 How to use the Concept to Solve problems Evaluate

15 How to use the Concept to Solve problems Evaluate

16 Use the concept Solve

17 Use the concept Solve

18 Use the concept Solve

19 Use the concept Solve Why Greater then Zero?

20 Solve for x Check your solutions

21 Solve for x Check your solutions

22 Solve for x Check your solutions They both work. What would make the answers not work?

23 This Logarithm is impossible Why?

24 This Logarithm is impossible Try to solve Is there any x that would make it equal -27?

25 How do you solve Evaluate the expression

26 How do you solve Evaluate the expression

27 Homework Page 536 #21 – 39 odd, 47 – 59 odd

28 Homework Page 536 #22 – 40 odd, 48 – 58 odd


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