On the decibel scale, the loudness of a sound, D, in decibels, is given by D = 10 log, where I is the intensity of the sound, in watts per meter?, and I, is the intensity of a sound barely audible to the human ear. If the intensity of a sound is 10, what is its loudness in decibels? (Such a sound is potentially damaging to the ear.)

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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Chapter 3 Test Questions 19 and 34

Page 515-516

Blitzer Precalculus 

19. On the decibel scale, the loudness of a sound, \( D \), in decibels, is given by \( D = 10 \log \frac{I}{I_0} \), where \( I \) is the intensity of the sound, in watts per meter squared, and \( I_0 \) is the intensity of a sound barely audible to the human ear. If the intensity of a sound is \( 10^{12}I_0 \), what is its loudness in decibels? (Such a sound is potentially damaging to the ear.)
Transcribed Image Text:19. On the decibel scale, the loudness of a sound, \( D \), in decibels, is given by \( D = 10 \log \frac{I}{I_0} \), where \( I \) is the intensity of the sound, in watts per meter squared, and \( I_0 \) is the intensity of a sound barely audible to the human ear. If the intensity of a sound is \( 10^{12}I_0 \), what is its loudness in decibels? (Such a sound is potentially damaging to the ear.)
**Question 34:**

Rewrite \( y = 96(0.38)^x \) in terms of base \( e \). Express the answer in terms of a natural logarithm and then round to three decimal places.
Transcribed Image Text:**Question 34:** Rewrite \( y = 96(0.38)^x \) in terms of base \( e \). Express the answer in terms of a natural logarithm and then round to three decimal places.
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