Question about sound intensity (this should be simple I think)

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SUMMARY

The discussion centers on calculating the sound intensity outside a soundproofed room, given that the room is 36.6 dB quieter than the outside environment and has an internal sound intensity of 2.27 x 10-10 W/m2. To find the outside intensity, one must first determine the sound level in dB inside using the formula 36.6 = 10 log (2.27 x 10-10/Iobserved). Subsequently, the sound level outside is computed by adding 36.6 dB to the internal sound level, allowing for the calculation of the external intensity in W/m2.

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A recording engineer works in a soundproofed room that is 36.6 dB quieter than the outside. If the sound intensity in the room is 2.27 x 10-10 W/m2, what is the intensity outside?

I'm not sure why I can't figure this one out.. My professor confused me when he talked about this.. Do I use 36.6=10 log (2.27x10^-10/I observed)?

Thanks so much to anyone who can help!
 
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Nope,

First you want to calculate the sound level in dB on the inside given that the sound intensity is 2.27 x 10-10 W/m2.

Then compute the sound level on the outside in dB given that it is 36.6dB more than the sound level inside.

The find the intensity in W/m2.
 

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