Greybeard, sound intensity follows what's called the "inverse square law". Which means that for every doubling of the distance, the sound intensity is just one quarter of what it was. This of course, applies only to perfect conditions, such as a point source and measurements taken as a sphere with no reflections/reverberations. But even in "real life" scenarios, we can use the same formula for estimates. If at 300 feet, the sound level is 77dB, then according to the inverse square law, at 600 feet you're looking at approximately 71dB, and at 1200 feet, 65 dB. So their estimate of losing 6 dB every time the distance doubles is pretty accurate.