In Problems 41-68, solve each exponential equation. Express irrational solutions in exact form and as a decimal rounded to three decimal places. 41. 2*-5 = 8 42. 5* = 25 43. 2" = 10 44. 3* = 14 45. 8* = 1.2 46. 2* = 1.5 47. 5(23r) = 8 48. 0.3(40.2) = 0.2 1-x 49. 31-2* = 4* 50. 2*+1 = 51-2 51. = 71-1 52. = 5* 53. 1.2 = (0.5)* 54. 0.31+* = 1.72*-1 55. 7- = e* 56. e*+3 %3D 12 CHAPTER 5 Exponential and Logarithmic Functions 57. 22 + 2* – 12 = 0 58. 32* + 3* - 2 = 0 59. 32* + 3*+1 - 4 = 0 60. 22 + 2*+2 – 12 = 0 61. 16* + 4*+1 - 3 = 0 62. 9* - 3r+1 + 1 = 0 63. 25* - 85* = -16 64. 36* - 6·6* = -9 65. 3-4 + 4.2* + 8 = 0 66. 2.49 + 11-7 + 5 = 0 67. 4 - 10-4-x = 3 68. 3* - 14-3 = 5

Intermediate Algebra
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Author:Lynn Marecek
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Chapter10: Exponential And Logarithmic Functions
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In Problems 41–68, solve each exponential equation. Express irrational solutions in exact form and as a decimal rounded to three decimal
places.

In Problems 41-68, solve each exponential equation. Express irrational solutions in exact form and as a decimal rounded to three decimal
places.
41. 2*-5 = 8
42. 5* = 25
43. 2" = 10
44. 3* = 14
45. 8* = 1.2
46. 2* = 1.5
47. 5(23r) = 8
48. 0.3(40.2) = 0.2
1-x
49. 31-2* = 4*
50. 2*+1 = 51-2
51.
= 71-1
52.
= 5*
53. 1.2 =
(0.5)*
54. 0.31+* = 1.72*-1
55. 7- = e*
56. e*+3
%3D
12
CHAPTER 5 Exponential and Logarithmic Functions
57. 22 + 2* – 12 = 0
58. 32* + 3* - 2 = 0
59. 32* + 3*+1 - 4 = 0
60. 22 + 2*+2 – 12 = 0
61. 16* + 4*+1 - 3 = 0
62. 9* - 3r+1 + 1 = 0
63. 25* - 85* = -16
64. 36* - 6·6* = -9
65. 3-4 + 4.2* + 8 = 0
66. 2.49 + 11-7 + 5 = 0
67. 4 - 10-4-x = 3
68. 3* - 14-3 = 5
Transcribed Image Text:In Problems 41-68, solve each exponential equation. Express irrational solutions in exact form and as a decimal rounded to three decimal places. 41. 2*-5 = 8 42. 5* = 25 43. 2" = 10 44. 3* = 14 45. 8* = 1.2 46. 2* = 1.5 47. 5(23r) = 8 48. 0.3(40.2) = 0.2 1-x 49. 31-2* = 4* 50. 2*+1 = 51-2 51. = 71-1 52. = 5* 53. 1.2 = (0.5)* 54. 0.31+* = 1.72*-1 55. 7- = e* 56. e*+3 %3D 12 CHAPTER 5 Exponential and Logarithmic Functions 57. 22 + 2* – 12 = 0 58. 32* + 3* - 2 = 0 59. 32* + 3*+1 - 4 = 0 60. 22 + 2*+2 – 12 = 0 61. 16* + 4*+1 - 3 = 0 62. 9* - 3r+1 + 1 = 0 63. 25* - 85* = -16 64. 36* - 6·6* = -9 65. 3-4 + 4.2* + 8 = 0 66. 2.49 + 11-7 + 5 = 0 67. 4 - 10-4-x = 3 68. 3* - 14-3 = 5
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