Exponential and Logarithmic Functions

1. Exponential and Logarithmic Functions

2. Solve, round to nearest hundredth Answer

4. Solve, round to nearest hundredth Answer

6. Solve, round to nearest hundredth Answer

8. Solve, round to nearest hundredth Answer

10. Solve, round to nearest hundredth Answer

12. Write in logarithm form Answer

14. Write in exponential form Answer

16. Evaluate each of the expressions Answer

18. Simplify to a single logarithm Answer

20. Expand the expression Answer

22. Find the inverse. Answer

24. Find the inverse. Answer

26. Find the inverse. Answer

28. Find the inverse. Answer

30. Find the inverse. Answer

32. Suppose you deposit $1500 in a savings account that pays 6%. No money is added or withdrawn form the account. Write an equation to model this situation. How much will the account be worth in 5 years? How many years until the account doubles? Answer

33. Suppose you deposit $1500 in a savings account that pays 6%. No money is added or withdrawn form the account. Write an equation to model this situation. How much will the account be worth in 5 years? How many years until the account doubles? 12 years

34. In 2009, there were 1570 bears in a wildlife refuge. In 2010 approximately 1884 bears. If this trend continues and the bear population is increasing exponentially, how many bears will there be in 2018? Write an exponential function to model the situation, then solve. Answer

35. In 2009, there were 1570 bears in a wildlife refuge. In 2010 approximately 1884 bears. If this trend continues and the bear population is increasing exponentially, how many bears will there be in 2018? Write an exponential function to model the situation, then solve. 8,100 bears

36. Suppose the population of a country is currently 7.3 million people. Studies show this country’s population is declining at a rate of 2.3% each year. Write an equation to model this situation. How many years until the population goes below 4 million? Answer

37. Suppose the population of a country is currently 7.3 million people. Studies show this country’s population is declining at a rate of 2.3% each year. Write an equation to model this situation. How many years until the population goes below 4 million? 26 years

38. By measuring the amount of carbon-14 in an object, a paleontologist can determine its approximate age. The amount of carbon-14 in an object is given by y = ae0.00012t, where a is the amount of carbon-14 originally in the object, and t is the age of the object in years. A fossil of a bone contains 32% of its original carbon-14. What is the approximate age of the bone? Answer

39. years

40. A new truck that sells for $29,000 depreciates 12% each year. What is the value of the truck after 7 years? Answer

41. $11,851.59

42. Graph and Identify the domain and range Answer

43. Domain: All real numbers Range:

44. Graph and Identify the domain and range Answer

45. Domain: All real numbers Range:

46. Graph and Identify the domain and range Answer

47. Domain: Range: All real numbers

48. Graph and Identify the domain and range Answer

49. Domain: Range: All real numbers

50. Graph and Identify the domain and range Answer