Understanding dB: Explaining Intensity Level of Sound in a Factory

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The intensity level of sound in a factory is measured at 93.0 dB with all seven machines operating. When four machines are shut down, the remaining three machines produce a lower intensity level. The decibel scale is logarithmic, meaning that sound intensity does not decrease linearly with the number of machines. To calculate the new intensity level, one must apply the logarithmic formula correctly, as simply dividing the dB level by the number of machines is inaccurate. Understanding the logarithmic nature of dB is crucial for accurate sound intensity calculations in this scenario.
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'The intensity level of sound in a factory is 93.0 dB when all seven of its machines are working. If four machines are shut down for maintenance, what is the intensity level of the sound from the remaining machines? Assume that all seven machines are identical.'

I know the answer is not just 3/7*93 as dB are similar to the richter scale. I found http://en.wikipedia.org/wiki/Decibel" and am trying to apply the third formula under 'Defintion' but to little success. I'm very confused.

Could anyone explain a little clearer exactly what the dB is?
 
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Reverse your formula: all 7 machines are 7/3 as loud as only 3 so you must have 93.0= 10log((7/3)X) where X is the intensity of 3 machines.
 
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