1. Review – Logs Compound Interest/ Exponential Growth/Decay Log Form and Exp Form Properties of Logs Log Equations 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Simplifying Logs

2. Compound Interest/ Exponential Growth/Decay Question 1 Does this equation represent exponential growth or decay?

3. Compound Interest/ Exponential Growth/Decay Question 1 Answer Growth

4. Compound Interest/ Exponential Growth/Decay Question 2 What is the value of “n” in the following problem? Ayana invests $3400 at 6.7% interest compounded quarterly. How much money will Ayana have in her account after 7 years?

5. Compound Interest/ Exponential Growth/Decay Question 2 Answer n=4 Compounded quarterly = four times a year

6. Compound Interest/ Exponential Growth/Decay Question 3 What is the y-intercept of the following equation?

7. Compound Interest/ Exponential Growth/Decay Question 3 Answer y-intercept = (0,546)

8. Compound Interest/ Exponential Growth/Decay Question 4 Write an example of an exponential decay function that has a y-intercept of 34.

9. Compound Interest/ Exponential Growth/Decay Question 4 Answer As long as the function has a value less than one in the parenthesis, it will be a decay function.

10. Compound Interest/ Exponential Growth/Decay Question 5 Find the multiplier for the equation that would be used to solve this problem : You cut your finger on a rusty nail and immediately 247 bacteria cells enter your bloodstream. If the bacteria increases by 4.6% every hour, how much bacteria is in your bloodstream after 4 hours?

11. Compound Interest/ Exponential Growth/Decay Question 5 Answer Multiplier: =1+.046 =1.046

12. Log Form and Exp. Form Question 1 Rewrite in exponential form:

13. Log Form and Exp. Form Question 1 Answer ** Remember the swirl method **

14. Log Form and Exp. Form Question 2 Rewrite in logarithmic form:

15. Log Form and Exp. Form Question 2 Answer ** Remember the swirl method **

16. Log Form and Exp. Form Question 3 Which equation is incorrect?

17. Log Form and Exp. Form Question 3 Answer C is incorrect.

18. Log Form and Exp. Form Question 4 Which equation is incorrect?

19. Log Form and Exp. Form Question 4 Answer B is incorrect.

20. Log Form and Exp. Form Question 5 What is the relationship between logarithmic functions and exponential functions?

21. Log Form and Exp. Form Question 5 Answer Logarithmic functions are the inverse of exponential functions.

22. Simplifying Logs - Question 1 Simplify this expression:

23. Simplifying Logs - Question 1 Answer Answer: 2 **use the swirl method**

24. Simplifying Logs - Question 2 Simplify this expression:

25. Simplifying Logs – Question 2 Answer Answer: -4 **use the swirl method**

26. Simplifying Logs – Question 3 Simplify this expression:

27. Simplifying Logs – Question 3 Answer Answer: 2.129

28. Simplifying Logs – Question 4 Simplify this expression:

29. Simplifying Logs – Question 4 Answer Answer: 154 The 5 cancels with the log 5 and leaves you with 154.

30. Simplifying Logs – Question 5 Simplify this expression:

31. Simplifying Logs – Question 5 Answer Answer: 0

32. Properties of Logs – Question 1 Write the expression as a sum or difference of logarithms:

33. Properties of Logs – Question 1 Answer

34. Properties of Logs – Question 2 Write as a single logarithm:

35. Properties of Logs – Question 2 Answer

36. Properties of Logs – Question 3 Write the expression as a sum or difference of logarithms:

37. Properties of Logs – Question 3 Answer

38. Properties of Logs – Question 4 Write as a single logarithm:

39. Properties of Logs – Question 4 Answer

40. Properties of Logs – Question 5 Write the expression as a sum or difference of logarithms:

41. Properties of Logs – Question 5 Answer

42. Log Equations – Question 1 Solve for x:

43. Log Equations – Question 1 Answer Answer: 3

44. Log Equations – Question 2 Solve for x:

45. Log Equations – Question 2 Answer Answer: 4

46. Log Equations – Question 3 Solve for x:

47. Log Equations – Question 3 Answer Answer: 5

48. Log Equations – Question 4 Solve for x:

49. Log Equations – Question 4 Answer Answer: 8

50. Log Equations – Question 5 How many days are left in the school year?

51. Log Equations – Question 5 Answer 40 days (as of 4/16/08)