# Decibels and intensity

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The level (Loudness) of sound is measured in decibels which is related to the intensity if sound (I) which is measured in watts per cm^2. One can convert from one measure to the other using the following formula d=10 log (I/10^-16)

Due to the installation of acoustical tiles in an auditorium, the noise level was reduced from 78 decibels to 72 decibels. Find the percent decrease in INTENSITY to the noise as a result of the installation of the tile.

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##### Solution Summary

This shows how to find the percent decrease in INTENSITY to the noise for a given situation.

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d1=78 ---> 78=10log(I1/10^(-16)) ---> I1=10^(7.8)*10^(-16) ...

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