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evenans53 - Even-Numbered Answers to Exercise Set 5.3...

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Even-Numbered Answers to Exercise Set 5.3: Logarithms f f -1 −4 −2 2 4 6 8 −4 −2 2 4 6 8 x y −4 −2 2 4 6 8 −4 −2 2 4 6 8 x y −2 2 4 6 8 −8 −6 −4 −2 2 x y −6 −4 −2 2 −4 −2 2 x y 2. (a) 25 5 2 = (b) 1 5 0 = 4. (a) 10 1 1 10 = (b) 3 9 2 1 = 6. (a) 4 4 = e e (b) x e = 2 8. (a) 2 3 = x (b) 5 3 . 0 = w x y 10. (a) 3 125 log 5 = (b) 2 1 16 4 log = 12. (a) 1 7 log 7 = (b) ( ) 2 3 125 1 25 log = 14. (a) 0 1 log 8 = (b) 5 ln = y 16. (a) x = 12 ln (b) x y 5 ) 6 ln( = 18. (a) 4 (b) 3 20. (a) 1 (b) 0 22. (a) 5 (b) 5 1 24. (a) 2 1 (b) -1 26. (a) -3 (b) 2 1 28. (a) 6 1 (b) -1 30. (a) 4 1 (b) 5 4 32. (a) 5 (b) -2 34. (a) 4 1 (b) 0 36. (a) -7 (b) 2 1 38. (a) x 2 (b) 4 x 40. (a) 4 (b) 0.71 42. (a) 2 (b) 4 7 44. (a) π (b) 2 x 46. (a) 3 = x (b) 4 = x 48. (a) 81 = x (b) 8 = x 50. (a) 4 5 = x (b) 6 = x 52. (a) 1.238 (b) 0.151 54. (a) 4.369 (b) -0.118 56. (a) and (b): See graph below (c) The inverse of x e y = is x y ln = . 58. (a) Graph: (b) The x -intercept is 1. There are no y -intercepts. (c) There is a vertical asymptote at . 0 = x 60. Vertical Asymptote at 0 = x Passes through (1, -4) Domain: ( ) , 0 Range: ( ) , 62. Vertical Asymptote at 0 = x Passes through (-1, 0) Domain: ( ) 0 , Range: ( ) ,
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Even-Numbered Answers to Exercise Set 5.3:
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