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## Homework Statement

The frequency of the two sounds is the same, and the observer is equal distance from either sound source. When one speaker is turned off the loudness is 70dB, what is the total loudness when it is turned back on?

## Homework Equations

A

^{2}∝I

dB=10log(I/I

_{0})

## The Attempt at a Solution

$$10log(\sqrt{\frac{2A}{A}})=10log\sqrt{2}=1.5$$

and 70+1.5=71.5dB

but I do not see it done this way anywhere so I don't know what I'm doing wrong