The relationship between the number of decibels ß and the intensity of a sound I in watts per centimeter squared is 10 In In 10 B = 10-16 (a) Use the properties of logarithms to write the formula in simpler form. O 10 + 16 log 107 O 160 + 10 log107 O 10 + 160 In I 160 + 10 In I O 10 + 160 log,, (b) Determine the number of decibels of a sound with an intensity of 10-7 watt per square centimeter. dB

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.6: Exponential And Logarithmic Equations
Problem 79SE: Recall the formula for continually compoundinginterest, y=Aekt. Use the definition of a...
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The relationship between the number of decibels B and the intensity of a sound I in watts per centimeter squared is
10
B =
In 10
10
(a) Use the properties of logarithms to write the formula in simpler form.
10 + 16 log 10
160 + 10 log10
10 + 160 In I
160 + 10 In I
10 + 160 log,101
(b) Determine the number of decibels of a sound with an intensity of 10- watt per square centimeter.
dB
Transcribed Image Text:The relationship between the number of decibels B and the intensity of a sound I in watts per centimeter squared is 10 B = In 10 10 (a) Use the properties of logarithms to write the formula in simpler form. 10 + 16 log 10 160 + 10 log10 10 + 160 In I 160 + 10 In I 10 + 160 log,101 (b) Determine the number of decibels of a sound with an intensity of 10- watt per square centimeter. dB
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