No, 3dB is a doubling of POWER, but this doesn't translate to the perception of doubling the volume. My experience is somewhere around 10dB translated to that impression with most players.
It's a doubling of sound intensity level (SIL), measured in decibels. "A decibel (dB) is a logarithmic unit used to measure sound levels, power ratios, and other quantities. It expresses the ratio between two values, typically power or intensity, on a logarithmic scale."
I use this scale a whole lot in the rural wireless infrastructure I've built. One end transmitting a particular amount of power expressed in dbm does not necessarily translate to it being received at the other end as "volume" or "signal level," because there are things in its way, including the atmosphere itself. Measured reception depends on many things including the distance from the source, etc. Measured differences in DB are accurate because it's determined at the exact point where you are receiving the signal (sound or otherwise), and thus is the sum of how much sound intensity you are receiving, not what it took to get it there.
3dB is a clearly audible difference to most players, but not a doubling difference.
However, measurement of 3db is still doubling. 9db would be an eight-fold difference.
[edit} Wait a minute, didn't you say that a 3dB difference couldn't be heard in post #21???
Yes, your ear won't make out 3db as being significantly louder. It takes 7-9db for the ear to hear a substantial difference in sound volume. This is down to the physics of your ear and your perception of amounts.
If you're doubling the cabs (double the sound amount of generated sound, see?), then you can often reach to your higher sound goal with less stress on the speakers, or simply attain a higher sound level, period. Otherwise, it's unlikely that anybody would bother with multiple cabs, at least not all aimed in the same direction. It isn't waves of transmitted power traveling to your ear like wireless signals, and in fact the electrical power that drives the speakers moves at roughly the speed of light, no; what is reaching your ears is vibrations of the atmosphere itself which move tiny fine hairs in the ear canal to detect those vibrations. No atmosphere, no sound waves. More speakers move more air... which stimulates more movement in your ear's components. It's also why different sized speakers with the same ratings have their own sound characteristics unique to them, they may move that air in wider or narrower frequencies and ampitudes.
It's moderately confusing, I grant you that. The biggest reason is that db is a logarithmic scale. I come from a time and place in the world where we taught both the pascal and db.