Please do question 47 and 83.

SECTION 5.4 Logarithmic Functions 305 axis) increasing In Problems 27-36, find the exact value of each logarithm without using a calculator. 27. 10g2 1 28. logg 8 29. logs 25 (-00, 00) 30. log3 9 31. 10g1/2 16 32. log1/3 9 33. log10 V 10 34. logs V 25 x = 0 (y-axis); decreasing 35. log V/2 4 36. log V3 9 37. In Ve 38. In e3 In Problems 39-50, find the domain of each function. 39. f(x) = In(x - 3) 40. g (x) = In(x - 1) 41. F(x) = 10g2x2 42. H(x) = 10g5 13 43. f(x) = 3 -21084( 2-5) 44. 8 (x) = 8+5In(2x + 3) 45. f(x) = In ( x 1 ,) 46. 8(x) = In( 15) 47. 8(x) = 1085(* + 1 48. h(x) = 1083(x - 1) 49. f(x) = Vinx 50. g (x) = In x In Problems 51-58, use a calculator to evaluate each expression. Round your answer to three decimal places. 10 51. In 3 52. In 5 54. 3 53. 0.04 -0.1 In 4 + In 2 55. 56. - log 15 + log 20 2 In 5 + log 50 3 log 80 - In 5 log 4 + log 2 In 15 + In 20 57. - 58. log 4 - In 2 log 5 + In 20 59. Find a so that the graph of f(x ) = loga x contains the point (2, 2). 60. Find a so that the graph of f(x) = log, x contains the point (7. -4). In Problems 61-64, graph each function and its inverse on the same set of axes. 61. f(x) = 34;1-1(x) =1083x 62. f ( x ) = 47; f-1 (x) = 1084x 63 . f ( x ) - ( 2 ) ;51 ( x ) = 1081/2 * 64. f(x) - (5) ;1'(x) =1081/3x pages listed in red. In Problems 65-72, the graph of a logarithmic function is given. Match each graph to one of the following functions: 245-247) (A) y = 10g3 x B) y = log3 ( -x) C) y = - 1083 X (D) y = -1083(-x) (E) y = 10g3 x - 1 (F) y = log3 (x - 1) G) y = log3 (1 - x ) (H) y = 1 - 10g3 X 65. 66. 67. 68. 3x = 0 Fix=1 = 0 5, = loga x, where a > 0 -5 5 x -5 equal to 1 and no -3 / -3 - statement: y = Inx if 69 70 71. 72. X = 1 - w on 3 x = 0 (d) y = 10' x = 0 + 2) -1 $ 5 X 5 x - 5 2 , 00 ) ( d ) ( 0 , 00 ) -3 - - 3 -3 - In Problems 73-88, use the given function f. (a) Find the domain off. (b) Graph f. (c) From the graph, determine the range and any asymptotes of f. (d) Find f-, the inverse of f. (e) Find the domain and the range of f . (f) Graph f-1. 73 . f ( x ) = In(x + 4 ) 74. f ( x) = In(x - 3) 75. f ( x) = 2 + In x 76. f(x) = -In(-x) M 77. f ( x ) = In ( 2x) - 3 78. f(x) = -2In (x+1) 79. f ( x) = log(x - 4) +2 80. f ( x ) = ~ logx -5 81. f( x ) = - log (2x) 82. f(x) = log( -2x) 83. f(x) = 3 + 10g3(x + 2) 84. f ( x ) = 2 - 1083 (x + 1 ) 2 85 . f ( x ) = ex+ 2 - 3 86. f( x ) = 3ex + 2 87. f(x ) = 2x/3 + 4 88. f( x ) = -3*+1 CA TRES GRAND LIT