1. Algebra 2 7-6 The Natural Base, e

2. Review

3. Vocabulary Exponential Function–A function of the general form f(x) = ab x Growth Factor – b in the exponential function when b > 1 Decay Factor – b in the exponential function when b < 1

4. Logarithms

8. To solve equations with exponentials or with logs, use the following equations to transform the equations Or, use inverse functions as follows

9. Natural Logarithms

10. Common Logarithm properties apply to natural logarithms also

11. Examples

13. Natural Logarithms - Example

14. Natural Logarithms - Practice 1. 2. 3.

15. Natural Logarithms Interest formulas

16. Examples

17. Logarithms

18. Examples

20. Natural Logarithms

21. Natural Logarithms - Example

24. Natural Logarithms - Practice 1. 2. 3.

25. Natural Logarithms - Example

26. Natural Logarithms - Practice 1. 2.

27. Natural Logarithms - Example

28. Natural Logarithms - Practice

29. Natural Logarithm Equations

30. Natural Logarithm Inequality

31. Practice Problems 1. 2. 3.

32. Practice Problems 4. 5. 6.

33. Natural Logarithms

34. Homework Page 534 17 – 21, 25, 27 – 29, 32- 36 even, 54, 56