SOLUTION: The decibel level of sound is given by D=10log(I/10^-12), where I is the sound intensity measured in watts per square meter. Find the decibel level of a whisper at an intensity of

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The decibel level of sound is given by D=10log(I/10^-12), where I is the sound intensity measured in watts per square meter. Find the decibel level of a whisper at an intensity of       Log On


   

Question 79520: The decibel level of sound is given by D=10log(I/10^-12), where I is the sound intensity measured in watts per square meter. Find the decibel level of a whisper at an intensity of 5.4*10^-10 watts per square meter.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The decibel level of sound is given by D=10log(I/10^-12), where I is the sound intensity measured in watts per square meter. Find the decibel level of a whisper at an intensity of 5.4*10^-10 watts per square meter.
:
Substitute 5.4(10^-10) for I in the given formula:
:
D = 10*log(%28%285.4%2810%5E-10%29%29%29%2F%28%2810%5E-12%29%29)
:
D = 10*log(5.4%2810%5E-10%29%2810%5E12%29)
:
D = 10*log(5.4%2810%5E2%29)
:
D = 10*log(540)
:
D = 10*2.7324
:
D = 27.32 decibel level of a whisper