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You really don't need to understand it.If you ever needed to figure out dB(I don't know why you would), just get a calculator that has a Log(arithm) function.The log of 2(2X power) is .301, which is in Bels, so in dB it's 3.01(commonly refered to as 3 dB).Log of 3 is .477 or 4.77 dB.Log of 4 is .602 or 6.02 dB.Log of 10 is 1 or 10 dB.
In terms of human sound perception, it takes 10 times the sound output, for us to perceive it as a 2X increase.
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-Nulli Secundus-
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