SOLUTION: The loudness L of a sound measured in decibles (db) is given by the formula: L=10*log (I � I0) where I repesents the intensity of the sound measured in watts per square meters and

Question 303538: The loudness L of a sound measured in decibles (db) is given by the formula: L=10*log (I � I0) where I repesents the intensity of the sound measured in watts per square meters and Io = 10^-12.
The loudness of certain sound measures 30 db. If the intensity of the sound is multiplied by 10, what is the loudness in decibels of the new sound?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The loudness L of a sound measured in decibles (db) is given by the formula: L=10*log (I � I0) where I repesents the intensity of the sound measured in watts per square meters and Io = 10^-12.
The loudness of certain sound measures 30 db. If the intensity of the sound is multiplied by 10, what is the loudness in decibels of the new sound?
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L = 10*log (I/Io)
30 = 10*log(I/10^-12)
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3 = log(I/10^-12)
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I/10^-12 = 10^3
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I = 10^-12*10^3
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I = 10^-9
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