Explanation Calculation: Algebraic solution: Consider the equation, 1 − ln x x 2 = 0 . Since x 2 > 0 , as its always positive, therefore, equation can be rewritten as, 1 − ln x = 0 ln x = 1 Add ln x on both sides Exponentiation of both sides with base e gives: e ln x = e 1 Use inverse property, e ln x = x . x = e 1 ≈ 2.718 Therefore, the solution of equation 1 − ln x x 2 = 0 is x = 2.718 . Graphical solution: Consider the equation, 1 − ln x x 2 = 0 . Take y 1 = 1 − ln x x 2 Use Ti-83 to obtain the graph of functions, y 1 = 1 − ln x x 2 . Step-1: Press ON key. Step-2: Press Y= key and enter the function y 1 = 1 − ln x x 2 as Y 1 = 1 − ln X / X^2

Bundle: Trigonometry, 10th + Webassign Printed Access Card For Larson's Trigonometry, 10th Edition, Single-term

10th Edition

ISBN: 9781337605175

Author: Ron Larson

Publisher: Cengage Learning

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Chapter 5.4, Problem 78E

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To calculate: The solution of the equation 1−lnxx2=0 algebraically, and approximate the result to three decimal places. Also, verify the result graphically using graphing utility.

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Chapter 5.4, Problem 77E

Chapter 5.4, Problem 79E

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Chapter 5 Solutions

Bundle: Trigonometry, 10th + Webassign Printed Access Card For Larson's Trigonometry, 10th Edition, Single-term

Ch. 5.1 - Use a calculator to evaluate fx=8x at x=2.Ch. 5.1 - Prob. 2ECP Ch. 5.1 - Prob. 3ECP Ch. 5.1 - Prob. 4ECP Ch. 5.1 - Prob. 5ECP Ch. 5.1 - Prob. 6ECP Ch. 5.1 - Prob. 7ECP Ch. 5.1 - You invest $6000 at an annual rate of 4. Find the...Ch. 5.1 - Prob. 9ECP Ch. 5.1 - Prob. 1E

Ch. 5.1 - Prob. 2E Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E Ch. 5.1 - Prob. 6E Ch. 5.1 - Evaluating an Exponential Function In Exercises...Ch. 5.1 - Evaluating an Exponential Function In Exercises...Ch. 5.1 - Prob. 9E Ch. 5.1 - Prob. 10E Ch. 5.1 - Prob. 11E Ch. 5.1 - Prob. 12E Ch. 5.1 - Prob. 13E Ch. 5.1 - Prob. 14E Ch. 5.1 - Prob. 15E Ch. 5.1 - Prob. 16E Ch. 5.1 - Prob. 17E Ch. 5.1 - Graphing an Exponential Function Exercises 1724,...Ch. 5.1 - Prob. 19E Ch. 5.1 - Prob. 20E Ch. 5.1 - Prob. 21E Ch. 5.1 - Prob. 22E Ch. 5.1 - Prob. 23E Ch. 5.1 - Prob. 24E Ch. 5.1 - Prob. 25E Ch. 5.1 - Prob. 26E Ch. 5.1 - Prob. 27E Ch. 5.1 - Prob. 28E Ch. 5.1 - Prob. 29E Ch. 5.1 - Prob. 30E Ch. 5.1 - Prob. 31E Ch. 5.1 - Transformations of the Graph of an Exponential...Ch. 5.1 - Prob. 33E Ch. 5.1 - Prob. 34E Ch. 5.1 - Prob. 35E Ch. 5.1 - Prob. 36E Ch. 5.1 - Prob. 37E Ch. 5.1 - Prob. 38E Ch. 5.1 - Prob. 39E Ch. 5.1 - Prob. 40E Ch. 5.1 - Prob. 41E Ch. 5.1 - Prob. 42E Ch. 5.1 - Prob. 43E Ch. 5.1 - 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Prob. 6ECP Ch. 5.2 - Prob. 7ECP Ch. 5.2 - Prob. 8ECP Ch. 5.2 - Prob. 9ECP Ch. 5.2 - Prob. 10ECP Ch. 5.2 - Prob. 11ECP Ch. 5.2 - Prob. 1E Ch. 5.2 - Prob. 2E Ch. 5.2 - Prob. 3E Ch. 5.2 - Prob. 4E Ch. 5.2 - Prob. 5E Ch. 5.2 - Prob. 6E Ch. 5.2 - Prob. 7E Ch. 5.2 - Prob. 8E Ch. 5.2 - Prob. 9E Ch. 5.2 - Prob. 10E Ch. 5.2 - Prob. 11E Ch. 5.2 - Prob. 12E Ch. 5.2 - Prob. 13E Ch. 5.2 - Prob. 14E Ch. 5.2 - Prob. 15E Ch. 5.2 - Prob. 16E Ch. 5.2 - Prob. 17E Ch. 5.2 - Prob. 18E Ch. 5.2 - Prob. 19E Ch. 5.2 - Prob. 20E Ch. 5.2 - Prob. 21E Ch. 5.2 - Prob. 22E Ch. 5.2 - Prob. 23E Ch. 5.2 - Prob. 24E Ch. 5.2 - Prob. 25E Ch. 5.2 - Prob. 26E Ch. 5.2 - Prob. 27E Ch. 5.2 - Prob. 28E Ch. 5.2 - Prob. 29E Ch. 5.2 - Prob. 30E Ch. 5.2 - Prob. 31E Ch. 5.2 - Prob. 32E Ch. 5.2 - Prob. 33E Ch. 5.2 - Prob. 34E Ch. 5.2 - Prob. 35E Ch. 5.2 - Prob. 36E Ch. 5.2 - Prob. 37E Ch. 5.2 - Prob. 38E Ch. 5.2 - Prob. 39E Ch. 5.2 - Prob. 40E Ch. 5.2 - Prob. 41E Ch. 5.2 - Prob. 42E Ch. 5.2 - Sketching the Graph of a Logarithmic Function In...Ch. 5.2 - 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Prob. 85E Ch. 5.2 - Prob. 86E Ch. 5.2 - Prob. 87E Ch. 5.2 - Prob. 88E Ch. 5.2 - Prob. 89E Ch. 5.2 - Prob. 90E Ch. 5.2 - Numerical Analysis (a) Complete the table for the...Ch. 5.2 - Prob. 92E Ch. 5.3 - Prob. 1ECP Ch. 5.3 - Prob. 2ECP Ch. 5.3 - Prob. 3ECP Ch. 5.3 - Prob. 4ECP Ch. 5.3 - Prob. 5ECP Ch. 5.3 - Prob. 6ECP Ch. 5.3 - Prob. 7ECP Ch. 5.3 - Prob. 1E Ch. 5.3 - Prob. 2E Ch. 5.3 - Prob. 3E Ch. 5.3 - Prob. 4E Ch. 5.3 - Prob. 5E Ch. 5.3 - Prob. 6E Ch. 5.3 - Prob. 7E Ch. 5.3 - Prob. 8E Ch. 5.3 - Prob. 9E Ch. 5.3 - Prob. 10E Ch. 5.3 - Prob. 11E Ch. 5.3 - Prob. 12E Ch. 5.3 - Prob. 13E Ch. 5.3 - Prob. 14E Ch. 5.3 - Prob. 15E Ch. 5.3 - Using Properties of Logarithms In Exercises 13-18,...Ch. 5.3 - Prob. 17E Ch. 5.3 - Prob. 18E Ch. 5.3 - Prob. 19E Ch. 5.3 - Prob. 20E Ch. 5.3 - Prob. 21E Ch. 5.3 - Prob. 22E Ch. 5.3 - Prob. 23E Ch. 5.3 - Prob. 24E Ch. 5.3 - Prob. 25E Ch. 5.3 - Prob. 26E Ch. 5.3 - Prob. 27E Ch. 5.3 - Prob. 28E Ch. 5.3 - Prob. 29E Ch. 5.3 - Prob. 30E Ch. 5.3 - Prob. 31E Ch. 5.3 - 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Prob. 80E Ch. 5.3 - In Exercises 79-82, use the following information....Ch. 5.3 - Prob. 82E Ch. 5.3 - Prob. 83E Ch. 5.3 - Prob. 84E Ch. 5.3 - Prob. 85E Ch. 5.3 - Prob. 86E Ch. 5.3 - Prob. 87E Ch. 5.3 - Prob. 88E Ch. 5.3 - Prob. 90E Ch. 5.3 - Prob. 91E Ch. 5.3 - Prob. 92E Ch. 5.3 - Prob. 93E Ch. 5.3 - Prob. 94E Ch. 5.3 - Prob. 95E Ch. 5.3 - Prob. 96E Ch. 5.3 - Prob. 97E Ch. 5.3 - Prob. 98E Ch. 5.3 - Prob. 99E Ch. 5.3 - Prob. 100E Ch. 5.3 - Prob. 101E Ch. 5.3 - Prob. 102E Ch. 5.3 - Prob. 103E Ch. 5.3 - Prob. 104E Ch. 5.3 - Prob. 105E Ch. 5.4 - Prob. 1ECP Ch. 5.4 - Prob. 2ECP Ch. 5.4 - Prob. 3ECP Ch. 5.4 - Prob. 4ECP Ch. 5.4 - Prob. 5ECP Ch. 5.4 - Prob. 6ECP Ch. 5.4 - Prob. 7ECP Ch. 5.4 - Prob. 8ECP Ch. 5.4 - Prob. 9ECP Ch. 5.4 - Prob. 10ECP Ch. 5.4 - Prob. 11ECP Ch. 5.4 - Prob. 1E Ch. 5.4 - Prob. 2E Ch. 5.4 - Prob. 3E Ch. 5.4 - Prob. 4E Ch. 5.4 - Prob. 5E Ch. 5.4 - Prob. 6E Ch. 5.4 - Prob. 7E Ch. 5.4 - Prob. 8E Ch. 5.4 - Prob. 9E Ch. 5.4 - Prob. 10E Ch. 5.4 - Prob. 11E Ch. 5.4 - Prob. 12E Ch. 5.4 - 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Prob. 59E Ch. 5.4 - Prob. 60E Ch. 5.4 - Prob. 61E Ch. 5.4 - Prob. 62E Ch. 5.4 - Prob. 63E Ch. 5.4 - Prob. 64E Ch. 5.4 - Prob. 65E Ch. 5.4 - Prob. 66E Ch. 5.4 - Using Technology In Exercises 63-70, use a...Ch. 5.4 - Prob. 68E Ch. 5.4 - Prob. 69E Ch. 5.4 - Prob. 70E Ch. 5.4 - Compound Interest In Exercises 71 and 72, you...Ch. 5.4 - Compound Interest In Exercises 71 and 72, you...Ch. 5.4 - Prob. 73E Ch. 5.4 - Prob. 74E Ch. 5.4 - Prob. 75E Ch. 5.4 - Prob. 76E Ch. 5.4 - Prob. 77E Ch. 5.4 - Prob. 78E Ch. 5.4 - Prob. 79E Ch. 5.4 - Prob. 80E Ch. 5.4 - Prob. 81E Ch. 5.4 - Prob. 82E Ch. 5.4 - Prob. 83E Ch. 5.4 - Prob. 84E Ch. 5.4 - Prob. 85E Ch. 5.4 - Prob. 86E Ch. 5.4 - Prob. 87E Ch. 5.4 - Temperature An object at a temperature of 160C was...Ch. 5.4 - Prob. 89E Ch. 5.4 - Prob. 90E Ch. 5.4 - True or False? In Exercises 8992, rewrite each...Ch. 5.4 - Prob. 92E Ch. 5.4 - Prob. 93E Ch. 5.4 - Prob. 94E Ch. 5.4 - Prob. 95E Ch. 5.4 - Prob. 96E Ch. 5.4 - Effective Yield The effective yield of an...Ch. 5.4 - Prob. 98E Ch. 5.5 - Prob. 1ECP Ch. 5.5 - Prob. 2ECP Ch. 5.5 - Estimate the age of a newly discovered fossil for...Ch. 5.5 - Prob. 4ECP Ch. 5.5 - Prob. 5ECP Ch. 5.5 - Find the intensities of earthquakes whose...Ch. 5.5 - Prob. 1E Ch. 5.5 - Prob. 2E Ch. 5.5 - Prob. 3E Ch. 5.5 - Prob. 4E Ch. 5.5 - Prob. 5E Ch. 5.5 - Prob. 6E Ch. 5.5 - Prob. 7E Ch. 5.5 - Prob. 8E Ch. 5.5 - Prob. 9E Ch. 5.5 - Prob. 10E Ch. 5.5 - Prob. 11E Ch. 5.5 - Prob. 12E Ch. 5.5 - Prob. 13E Ch. 5.5 - Prob. 14E Ch. 5.5 - Compound Interest In Exercises 15 and16, determine...Ch. 5.5 - Prob. 16E Ch. 5.5 - Prob. 17E Ch. 5.5 - Prob. 18E Ch. 5.5 - Prob. 19E Ch. 5.5 - Prob. 20E Ch. 5.5 - Prob. 21E Ch. 5.5 - Prob. 22E Ch. 5.5 - Prob. 23E Ch. 5.5 - Prob. 24E Ch. 5.5 - Prob. 25E Ch. 5.5 - Prob. 26E Ch. 5.5 - Prob. 27E Ch. 5.5 - Prob. 28E Ch. 5.5 - Prob. 29E Ch. 5.5 - Population The table shows the mid-year...Ch. 5.5 - Prob. 31E Ch. 5.5 - Prob. 32E Ch. 5.5 - Prob. 33E Ch. 5.5 - Prob. 34E Ch. 5.5 - Depreciation A laptop computer that costs $575 new...Ch. 5.5 - Prob. 36E Ch. 5.5 - Prob. 37E Ch. 5.5 - Carbon Dating The ratio of carbon-14 to carbon-12...Ch. 5.5 - Prob. 39E Ch. 5.5 - Education The amount of time (in hours per week) a...Ch. 5.5 - Prob. 41E Ch. 5.5 - Prob. 42E Ch. 5.5 - Prob. 43E Ch. 5.5 - Prob. 44E Ch. 5.5 - Prob. 45E Ch. 5.5 - Prob. 46E Ch. 5.5 - Prob. 47E Ch. 5.5 - Prob. 48E Ch. 5.5 - Prob. 49E Ch. 5.5 - Prob. 50E Ch. 5.5 - Prob. 51E Ch. 5.5 - Prob. 52E Ch. 5.5 - Prob. 53E Ch. 5.5 - Prob. 54E Ch. 5.5 - pH Levels In Exercises 5156, use the acidity model...Ch. 5.5 - Prob. 56E Ch. 5.5 - Forensics At 8:30 A.M., a coroner went to the home...Ch. 5.5 - Prob. 58E Ch. 5.5 - Prob. 59E Ch. 5.5 - Prob. 60E Ch. 5.5 - Prob. 61E Ch. 5.5 - Prob. 62E Ch. 5.5 - Prob. 63E Ch. 5.5 - Prob. 64E Ch. 5.5 - HOW DO YOU SEE IT? Identify each model as...Ch. 5 - Evaluating an Exponential Function In Exercises...Ch. 5 - Prob. 2RE Ch. 5 - Prob. 3RE Ch. 5 - Prob. 4RE Ch. 5 - Prob. 5RE Ch. 5 - Prob. 6RE Ch. 5 - Prob. 7RE Ch. 5 - Prob. 8RE Ch. 5 - Prob. 9RE Ch. 5 - Prob. 10RE Ch. 5 - Prob. 11RE Ch. 5 - Prob. 12RE Ch. 5 - Prob. 13RE Ch. 5 - Prob. 14RE Ch. 5 - Prob. 15RE Ch. 5 - Prob. 16RE Ch. 5 - Prob. 17RE Ch. 5 - Prob. 18RE Ch. 5 - Prob. 19RE Ch. 5 - Prob. 20RE Ch. 5 - Prob. 21RE Ch. 5 - Prob. 22RE Ch. 5 - Prob. 23RE Ch. 5 - Prob. 24RE Ch. 5 - Prob. 25RE Ch. 5 - Prob. 26RE Ch. 5 - Prob. 27RE Ch. 5 - Prob. 28RE Ch. 5 - Prob. 29RE Ch. 5 - Prob. 30RE Ch. 5 - Prob. 31RE Ch. 5 - Prob. 32RE Ch. 5 - Prob. 33RE Ch. 5 - Prob. 34RE Ch. 5 - Prob. 35RE Ch. 5 - Prob. 36RE Ch. 5 - Prob. 37RE Ch. 5 - Prob. 38RE Ch. 5 - Prob. 39RE Ch. 5 - Prob. 40RE Ch. 5 - Prob. 41RE Ch. 5 - Prob. 42RE Ch. 5 - Prob. 43RE Ch. 5 - Prob. 44RE Ch. 5 - Prob. 45RE Ch. 5 - Prob. 46RE Ch. 5 - Prob. 47RE Ch. 5 - Prob. 48RE Ch. 5 - Prob. 49RE Ch. 5 - Prob. 50RE Ch. 5 - Prob. 51RE Ch. 5 - Prob. 52RE Ch. 5 - Prob. 53RE Ch. 5 - Prob. 54RE Ch. 5 - Prob. 55RE Ch. 5 - Prob. 56RE Ch. 5 - Prob. 57RE Ch. 5 - Prob. 58RE Ch. 5 - Prob. 59RE Ch. 5 - Prob. 60RE Ch. 5 - Prob. 61RE Ch. 5 - Prob. 62RE Ch. 5 - Prob. 63RE Ch. 5 - Using Properties of Logarithms In Exercises 63-66,...Ch. 5 - Prob. 65RE Ch. 5 - Prob. 66RE Ch. 5 - Prob. 67RE Ch. 5 - Prob. 68RE Ch. 5 - Prob. 69RE Ch. 5 - Prob. 70RE Ch. 5 - Prob. 71RE Ch. 5 - Prob. 72RE Ch. 5 - Prob. 73RE Ch. 5 - Prob. 74RE Ch. 5 - Prob. 75RE Ch. 5 - Prob. 76RE Ch. 5 - Prob. 77RE Ch. 5 - Prob. 78RE Ch. 5 - Prob. 79RE Ch. 5 - Prob. 80RE Ch. 5 - Prob. 81RE Ch. 5 - Prob. 82RE Ch. 5 - Prob. 83RE Ch. 5 - Prob. 84RE Ch. 5 - Prob. 85RE Ch. 5 - Prob. 86RE Ch. 5 - Prob. 87RE Ch. 5 - Prob. 88RE Ch. 5 - Prob. 89RE Ch. 5 - Prob. 90RE Ch. 5 - Prob. 91RE Ch. 5 - Prob. 92RE Ch. 5 - Prob. 93RE Ch. 5 - Prob. 94RE Ch. 5 - Prob. 95RE Ch. 5 - Prob. 96RE Ch. 5 - Prob. 97RE Ch. 5 - Prob. 98RE Ch. 5 - Prob. 99RE Ch. 5 - Prob. 100RE Ch. 5 - Prob. 101RE Ch. 5 - Prob. 102RE Ch. 5 - Prob. 103RE Ch. 5 - Prob. 104RE Ch. 5 - Prob. 105RE Ch. 5 - Prob. 106RE Ch. 5 - Prob. 107RE Ch. 5 - Prob. 108RE Ch. 5 - Prob. 109RE Ch. 5 - Prob. 110RE Ch. 5 - Prob. 111RE Ch. 5 - Prob. 112RE Ch. 5 - Prob. 113RE Ch. 5 - Prob. 114RE Ch. 5 - Prob. 115RE Ch. 5 - Prob. 116RE Ch. 5 - Prob. 117RE Ch. 5 - Prob. 118RE Ch. 5 - Prob. 1T Ch. 5 - Prob. 2T Ch. 5 - Prob. 3T Ch. 5 - Prob. 4T Ch. 5 - Prob. 5T Ch. 5 - Prob. 6T Ch. 5 - Prob. 7T Ch. 5 - Prob. 8T Ch. 5 - Prob. 9T Ch. 5 - Prob. 10T Ch. 5 - Prob. 11T Ch. 5 - In Exercises 12-14, evaluate the logarithm using...Ch. 5 - Prob. 13T Ch. 5 - Prob. 14T Ch. 5 - Prob. 15T Ch. 5 - Prob. 16T Ch. 5 - Prob. 17T Ch. 5 - In Exercises 18-20, condense the expression to the...Ch. 5 - In Exercises 18-20, condense the expression to the...Ch. 5 - Prob. 20T Ch. 5 - Prob. 21T Ch. 5 - Prob. 22T Ch. 5 - Prob. 23T Ch. 5 - Prob. 24T Ch. 5 - Prob. 25T Ch. 5 - Prob. 26T Ch. 5 - Prob. 27T Ch. 5 - Prob. 28T Ch. 5 - Prob. 29T Ch. 5 - Prob. 1PS Ch. 5 - Prob. 2PS Ch. 5 - Prob. 3PS Ch. 5 - Prob. 4PS Ch. 5 - Prob. 5PS Ch. 5 - Prob. 6PS Ch. 5 - Prob. 7PS Ch. 5 - Prob. 8PS Ch. 5 - Prob. 9PS Ch. 5 - Prob. 10PS Ch. 5 - Prob. 11PS Ch. 5 - Prob. 12PS Ch. 5 - Prob. 13PS Ch. 5 - Prob. 14PS Ch. 5 - Prob. 15PS Ch. 5 - Prob. 16PS Ch. 5 - Prob. 17PS Ch. 5 - Prob. 18PS Ch. 5 - Prob. 19PS Ch. 5 - Finding Slope and y-Intercept Take the natural log...Ch. 5 - Prob. 21PS Ch. 5 - Prob. 22PS Ch. 5 - Prob. 23PS Ch. 5 - Prob. 24PS Ch. 5 - Prob. 25PS Ch. 5 - Prob. 26PS

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The solution of the equation 1 − ln x x 2 = 0 algebraically, and approximate the result to three decimal places. Also, verify the result graphically using graphing utility.

Solution Summary: The author calculates the solution of the equation 1-mathrmlnx2=0 algebraically and approximates it to three decimal places.

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To calculate: The solution of the equation 1−lnxx2=0 algebraically, and approximate the result to three decimal places. Also, verify the result graphically using graphing utility.

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Chapter 5 Solutions