Please work on question# 43, 46, 47, 52, 54, 56, 64, 70, 75, 77, 79, 113, 114, 115

In Exercises 21-42, evaluate each expression without using a calculator. 21. log4 16 22. log7 49 23. log2 64 24. log3 27 25. logs 5 26. 10g6 6 27. log2 28. 10g3 9 29. log, V7 30. logo V6 31. log2 32. log3 V3 33. log64 8 34. logg1 9 35. logs 5 36. log1 11 37. log, 1 38. logo 1 39. logs 51 40. log4 46 41. 8log: 19 42. 7log7 23 43. Graph f(x) - 4" and g(x) - log4 x in the same rectangular coordinate system.46. Graph f(x) - (4 )" and g(x) = logix in the same rectangular coordinate system. In Exercises 47-52, the graph of a logarithmic function is given. hmic Select the function for each graph from the following options: f(x) - log3 x, g(x) - log3(x - 1), h(x) = 10g3 x - 1, F(x) - -log3 x, G(x) - log3(-x), H(x) = 1 - 10g3 X. 47. y 48. . .... 2 .... X X 4 -2 ........... ....... mmm...5. -2 -2 ......... 49. 50. 2- ..... .._.... ...!-.. X milar464 Chapter 3 Exponential and Logarithmic Functions 51. 52. . ..;. ......." ......... 2- ....... .bot......... X X ...j.. In Exercises 53-58, begin by graphing f(x) = log2 x. Then use transformations of this graph to graph the given function. What is the vertical asymptote? Use the graphs to determine each function's domain and range. 53. g(x) = log2(x + 1) 54. g(x) = log2(x + 2) 55. h(x) = 1 + log2 x 56. h(x) = 2 + log2 x 57. g(x) = 710g2 X 58. g(x) = -210g2 x The figure shows the graph of f(x) = log x. In Exercises 59-64, use transformations of this graph to graph each function. Graph and give equations of the asymptotes. Use the graphs to determine each function's domain and range.55. h(x) - 1+ 10g2 x 56. h(x) = 2 + 10g2 x 57. g(x) = zlog2 X 58. g(x) = -210g2 X. The figure shows the graph of f(x) = log x. In Exercises 59-64, use transformations of this graph to graph each function. Graph and give equations of the asymptotes. Use the graphs to determine each function's domain and range. Vertical 2-.......... f(x) = log X idan asymptote: (10, 1) x = 0 1- (5, log.5.~.0.7). X 2 6. 10 (1, 0) ...... -1) 10.2..... 59. g(x) = log(x - 1) 60. g(x) = log(x - 2) 361. h(x) = log x - 1 62. h(x) = log x - 2 63. g(x) = 1 - log x 64. g(x) = 2 - log x The figure shows the graph of f(x) = In x. In Exercises 65-74, use transformations of this graph to graph each function. Graph and give equations of the asymptotes. Use the graphs to determine each function's domain and range.59. g(x) = log(x - 1) 60. g(x) = log(x - 2) 361. h(x) = log x - 1 62. h(x) = log x - 2 63. g(x) = 1 - log x 64. g(x) = 2 - log x Q The figure shows the graph of f(x) = In x. In Exercises 65-74, use transformations of this graph to graph each function. Graph and give equations of the asymptotes. Use the graphs to determin each function's domain and range. f(x) = In x Vertical (3, In 3 ~ 1.1) asymptote: x =0 1-.....j.. 8-=> AA X 10. (1, 0) 1, in 1 2 0.7) -....- F. ... .... .4 ...;...... 65. g(x) = In(x + 2) 366. g(x) = In(x + 1) 67. h(x) = In(2x)ctions 69. g(x) = 2 In x 70. g(x) = = Inx 71. h(x) = -In x 72. h(x) = In(-x) X 73. g(x) = 2 - In x 74. g(x) = 1 - In x In Exercises 75-80, find the domain of each logarithmic function. 75. f(x) = logs(x + 4) 76. f(x) = logs(x + 6) 77. f(x) = log(2 - x) 78. f(x) = log(7 - x) 79. f(x) = In(x - 2)2 80. f(x) = In(x - 7)2 In Exercises 81-100, evaluate or simplify each expression withoutPractice Plus In Exercises 101-104, write each equation in its equivalent exponential form. Then solve for x. 101. log3(x - 1) = 2 102. logs(x + 4) = 2 103. log4 x = -3 104. log64X = WIN In Exercises 105-108, evaluate each expression without using a calculator. 105. log3(log7 7) 106. logs(log2 32) 107. log2(log3 81) 108. log(In e) In Exercises 109-112, find the domain of each logarithmic