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 (10-16). (a) Use the properties of logarithms to write the formula in simpler form. O 160 + 10 log1 O 10 + 160 In I O 10+16 log,0 O 10 + 160 log1o O 160 + 10 In I (b) Determine the number of decibels of a sound with an intensity of 10-7 watt per square centimeter. dB Need Help? Read It

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter5: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 17T: In Exercises 15-17, use the properties of logarithms to expand the expression as a sum, difference,...
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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
10-16
(a) Use the properties of logarithms to write the formula in simpler form.
O 160 + 10 log10
O 10 + 160 In I
O 10 + 16 log10
O 10 + 160 log10
160 + 10 In I
(b) Determine the number of decibels of a sound with an intensity of 10 watt per square centimeter.
dB
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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 10-16 (a) Use the properties of logarithms to write the formula in simpler form. O 160 + 10 log10 O 10 + 160 In I O 10 + 16 log10 O 10 + 160 log10 160 + 10 In I (b) Determine the number of decibels of a sound with an intensity of 10 watt per square centimeter. dB Need Help? Read It Show My Work (Optional) 3 Submit Answer Viewing Saved Work Revert to Last Response View Previous Question Question 7 of 7 Home MyAssignmments. Bequest Extension.
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