SOLUTION: The loudness of a sound in decibels is related to the sound i, where the function for the loudness is given L(i) = 10 log10 (_i_), io and io is a constant equal to the m

Algebra.Com
Question 138446: The loudness of a sound in decibels is related to the sound i, where the function for the loudness is given L(i) = 10 log10
(_i_),
io
and io is a constant equal to the minimum sound that can be detected by the human ear. Find the loudness in decibels of a recording of rock music with intensity 10 million times io.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The loudness of a sound in decibels is related to the sound i, where the function for the loudness is given L(i) = 10 log10 [(_i_)/io]
and io is a constant equal to the minimum sound that can be detected by the human ear.
Find the loudness in decibels of a recording of rock music with intensity 10 million times io.
-----------------------------
L(10^7 io) = 10log10(10^7io/io)
= 10log10 10^7 = 10*7 = 70dB
==========================
Cheers,
Stan H.

RELATED QUESTIONS

To measure the volume of loudness of a sound, the decibel scale is used. The loudness L... (answered by jsmallt9)
The loudness L of a sound measured in decibles (db) is given by the formula: L=10*log (I... (answered by stanbon)
The loudness L of a sound measured in decibels (dB) is given by the formula: L = 10 · log (answered by stanbon)
The loudness of sound is measured in units called decibels. The decibel rating of a sound (answered by ankor@dixie-net.com)
Use the fact that the loudness of sound (in decibels) perceived by the human ear depends... (answered by MathLover1,MathTherapy)
The loudness, b, of sound measured in decibals is defined by the equation b = 10 log... (answered by jsmallt9)
To measure the volume of loudness of a sound, the decibel scale is used. The loudness L... (answered by jsmallt9)
The sound level L, or "loudness" of sound, is measured in decibels (dB) as L = 10log... (answered by Fombitz)
ASAP HELP!(^)I use this symbol to represent exponents I have a question, if the... (answered by jim_thompson5910)