problems 29,30,34,53,55,57,63,66,67,71

356 Chapter 4 Exponential and Logarithmic Functions Exercises 15-34, evaluate each expression without using a calculator. Round armour decimal 18. log V 10 15. log 10000 16. log 0.001 17. log V 10 22. In _ 19. In e2 21. In el/3 e 20. In Ve 26. In ew 23. log 10*+ y 24. In ex - z 25. log 10* 29. log 3 31 30. 108 7 19 27. log, V2 28. log, 49 34. log 6%x sul 31. 10g /2 4 32. 1081/3 9 33. log 4* +1 Exercises 35-42, evaluate the expression to four decimal places using a calculator. Round answers to s decimal places. 35. 210g4 36. -310g6 37. In V2 38. In TT 100,000. aE0.0 0 42. -In - 39. log 1400 40. log 2500 41. 2 In _ In Exercises 43-50, use the change-of-base formula to evaluate the following using a calculator. Round ans myig all of into four decimal places. 43. log, 1.25 44. log, 2.75 45. log , 0.5 46. log, 0.65 47. log, 12 48. log, 20 49. log, 150 50. log, 230 In Exercises 51-56, use the definition of a logarithm to solve for x. 51. log, x = 3 52. log, V5 = x 53. log , x = 54. log, x = -2 55. log 216 = 3 56. log 9 = In Exercises 57-72, find the domain of each function. Use your answer to help graph the function, and label all asymptotes and intercepts. 57. f(x) = 2logx 58. f(x) = 41nx 59. f(x) = 410g, x 60. f(x) = 310g, x 61. g(x) = (log x) - 3 62. h(x) = (In x) + 2 63. f(x) = log,(x + 1) 64. f(x) = log, (x - 2) 65. f(x) = In(x + 4) 66. f(x) = log(x - 3) 67. g(x) = 210g3 (x - 1) 68. f(x) = -log, (x + 3) 69. f(t) = 108, 3 70. g(s) = 1081 12 S 71. f(x) = loglx| 72. g (x) = In(x2) 73. Use the following graph of f(x) = 10* to estimate log 7. Explain how you obtained your answer. 8+ 7+ 16+ 5+ f(x) = 10* ol 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 *