Explanation Consider the relation between numbers of decibels β and intensity of sound I , β = 10 log I 10 − 12 Where, β is the number of decibels and I is the intensity of sound in watt per square meter. Let β 1 represent the level of sound and I 1 represent the intensity of sound in watt per square meter when one stereo is playing. β 2 represents the level of sound I 2 represents the intensity of sound in watt per square meter when both stereos are playing. Using the relation for the number of decibels of sound β 1 can be expressed as, β 1 = 10 log I 1 10 − 12 Using the relation for number of decibels of sound β 2 can be expressed as, β 2 = 10 log I 2 10 − 12 β 2 represents the level of sound when both the stereos are playing, that means, I 2 = 2 I 1 Now, Substitute 2 I 1 for I 2 in β 2 = 10 log I 2 10 − 12 , Therefore, β 2 = 10 log 2 I 1 10 − 12 Here, β 2 represents the level of sound when two stereos are playing at the same intensity. Now, to calculate the increase in loudness, subtract β 1 from β 2 as follow

10th Edition

ISBN: 9781337278461

Author: Ron Larson

Publisher: Cengage Learning

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Chapter 5.3, Problem 82E

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The comparison of playing the music with two stereos to one, if the relation between the number of decibels β and intensity of sound I (in watts per square meter) is given by β=10logI10−12.

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Chapter 5.3, Problem 81E

Chapter 5.3, Problem 83E

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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

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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 comparison of playing the music with two stereos to one, if the relation between the number of decibels β and intensity of sound I (in watts per square meter) is given by β = 10 log I 10 − 12 .

Solution Summary: The author analyzes the relation between decibels beta and intensity of sound I. The music is about 3 louder with both the stereos playing together.

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The comparison of playing the music with two stereos to one, if the relation between the number of decibels β and intensity of sound I (in watts per square meter) is given by β=10logI10−12.

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Chapter 5 Solutions