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## Homework Statement

A point source power outputs a power of 100 W. If a decibel reading of 118 dB is heard, what is the distance to the observer.

## Homework Equations

I = P/(4*pi*r^2)

## The Attempt at a Solution

This should be simple, but for some reason my numbers aren't matching up.

First I converted 118 dB to an intensity of .6309 w/m^2 Then I plug it back into the equation and solve for r which comes out to be 4.471 meters.

So then to check it I put the 4.471 m back into the equation to see if it equals my intensity which it doesn't. I'm not sure where I went wrong on this one. Any help would be greatly appreciated.