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49. 3¹-2x = 4x

49. 3¹-2x = 4x

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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I need help with 49, 61 and 65
### Exponential Equations Practice Problems #### Solve each exponential equation. Express any irrational solutions rounded to three decimal places. **Problems 41-68:** 41. \(2^{x-5} = 8\) 42. \(5^{-x} = 25\) 45. \(8^{-x} = 1.2\) 46. \(2^{-x} = 1.5\) 49. \(3^{1-2x} = 4^x\) 50. \(2^{x+1} = 5^{1-2x}\) 53. \(1.2^x = (0.5)^{-x}\) 54. \(0.3^{1+x} = 1.7^{x-1}\) 57. \(2^x + 2^{-x} - 12 = 0\) 58. \(3^{2x} + 3^x - 2 = 0\) 61. \(16^x + 4^{x+1} - 3 = 0\) 62. \(9^x - 3^{x+1} + 1 = 0\) 65. \(3 \cdot 4^x + 4 \cdot 2^x + 8 = 0\) 66. \(2 \cdot 49^x + 11 \cdot 7^x + 5 = 0\) **Problems 69-82: Use a graphing utility to solve each equation.** 69. \(\log_5(x + 1) - \log_4(x - 2) = 1\) 71. \(e^x = -x\) 72. \(e^{2x} = x + 2\) These problems focus on solving exponential equations, requiring knowledge of indices, logarithms, and potentially using graphing tools for visualization and finding solutions where applicable.
Transcribed Image Text:### Exponential Equations Practice Problems #### Solve each exponential equation. Express any irrational solutions rounded to three decimal places. **Problems 41-68:** 41. \(2^{x-5} = 8\) 42. \(5^{-x} = 25\) 45. \(8^{-x} = 1.2\) 46. \(2^{-x} = 1.5\) 49. \(3^{1-2x} = 4^x\) 50. \(2^{x+1} = 5^{1-2x}\) 53. \(1.2^x = (0.5)^{-x}\) 54. \(0.3^{1+x} = 1.7^{x-1}\) 57. \(2^x + 2^{-x} - 12 = 0\) 58. \(3^{2x} + 3^x - 2 = 0\) 61. \(16^x + 4^{x+1} - 3 = 0\) 62. \(9^x - 3^{x+1} + 1 = 0\) 65. \(3 \cdot 4^x + 4 \cdot 2^x + 8 = 0\) 66. \(2 \cdot 49^x + 11 \cdot 7^x + 5 = 0\) **Problems 69-82: Use a graphing utility to solve each equation.** 69. \(\log_5(x + 1) - \log_4(x - 2) = 1\) 71. \(e^x = -x\) 72. \(e^{2x} = x + 2\) These problems focus on solving exponential equations, requiring knowledge of indices, logarithms, and potentially using graphing tools for visualization and finding solutions where applicable.
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