The perception of the loudness B (in decibels, dB) of a sound with physical intensity I (in W/m2) is given by B = 10 log(÷) Io where Io is the physical intensity of a barely audible sound. Find the decibel level (loudness) of a sound whose physical intensity I is 1000 times that of Io (this is the decibel level of a whisper).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 16E
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The perception of the loudness B (in decibels, dB) of a sound with physical
intensity I (in W/m2) is given by
B = 10 log(+)
where Io is the physical intensity of a barely audible sound. Find the decibel level
(loudness) of a sound whose physical intensity I is 1000 times that of Io (this is
the decibel level of a whisper).
Transcribed Image Text:The perception of the loudness B (in decibels, dB) of a sound with physical intensity I (in W/m2) is given by B = 10 log(+) where Io is the physical intensity of a barely audible sound. Find the decibel level (loudness) of a sound whose physical intensity I is 1000 times that of Io (this is the decibel level of a whisper).
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