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Exponential Functions Logarithmic Functions

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Presentation on theme: "Exponential Functions Logarithmic Functions"— Presentation transcript:

1 Exponential Functions Logarithmic Functions
Section 5.3 Exponential Functions And Section 5.4 Logarithmic Functions Copyright © 2013 Pearson Education, Inc. All rights reserved

2 Evaluate exponential functions. Graph exponential functions.
Objectives Evaluate exponential functions. Graph exponential functions. Define the number e. Solve exponential equations. Change exponential statements to logarithmic statements and vice versa. Evaluate logarithmic expressions. Solve logarithmic equations. Copyright © 2013 Pearson Education, Inc. All rights reserved

3 Power function: (the base is a variable)
Copyright © 2013 Pearson Education, Inc. All rights reserved

4 Copyright © 2013 Pearson Education, Inc. All rights reserved

5 Copyright © 2013 Pearson Education, Inc. All rights reserved

6 Copyright © 2013 Pearson Education, Inc. All rights reserved

7 Copyright © 2013 Pearson Education, Inc. All rights reserved

8 Copyright © 2013 Pearson Education, Inc. All rights reserved

9 Copyright © 2013 Pearson Education, Inc. All rights reserved

10 Copyright © 2013 Pearson Education, Inc. All rights reserved

11 Copyright © 2013 Pearson Education, Inc. All rights reserved

12 Copyright © 2013 Pearson Education, Inc. All rights reserved

13 Copyright © 2013 Pearson Education, Inc. All rights reserved

14 Copyright © 2013 Pearson Education, Inc. All rights reserved

15 Copyright © 2013 Pearson Education, Inc. All rights reserved

16 Logarithmic Functions
Section 5.4 Logarithmic Functions Copyright © 2013 Pearson Education, Inc. All rights reserved

17 Copyright © 2013 Pearson Education, Inc. All rights reserved

18 Copyright © 2013 Pearson Education, Inc. All rights reserved

19 Copyright © 2013 Pearson Education, Inc. All rights reserved

20 Copyright © 2013 Pearson Education, Inc. All rights reserved

21 Copyright © 2013 Pearson Education, Inc. All rights reserved

22 (a) 3 raised to what power yields 81?
(b) 2 raised to what power yields ? Copyright © 2013 Pearson Education, Inc. All rights reserved

23 Copyright © 2013 Pearson Education, Inc. All rights reserved

24 Natural Logarithm Function
Copyright © 2013 Pearson Education, Inc. All rights reserved

25 Common Logarithm Function
Copyright © 2013 Pearson Education, Inc. All rights reserved

26 Copyright © 2013 Pearson Education, Inc. All rights reserved

27 Isolate the exponential
Change to logarithmic form Exact solution Approximate solution Copyright © 2013 Pearson Education, Inc. All rights reserved

28 Copyright © 2013 Pearson Education, Inc. All rights reserved

29 Homework: 5.3 # 15a, 21, all, odd 5.4 # 9, 11, 17, 19, odd, odd Copyright © 2013 Pearson Education, Inc. All rights reserved

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