Assume that a loudspeaker is generating 75 dBSPL at a distance of 13 feet (4 m) away from the source outdoors. What would the level be at 52 feet (16 m) away?
Step one:
Notice that 52 feet (16 m) is exactly four times as far from the point source of energy as 13 feet (4 m). This means you can use the Inverse Square Law to quickly calculate the dBSPL at the 52 feet (16 m) position.
Step two:
Ask yourself, "How many times has the distance doubled?"
13 * 2 = 26 feet (8 m)
26 * 2 = 52 feet (16 m)
The distance has doubled two times.
Step three:
Because we are calculating a loss, multiply -6 dB by the number of times the distance has doubled.
-6 * 2 = -12 dB
Step four:
Now that you have calculated the amount of loss, the impact of the change needs to be determined. Add the results from step three to the original dBSPL measurement.
75 + (-12) = 63 dBSPL
75 - 12 = 63 dBSPL
The sound pressure level at 52 feet (16 m) from the point source is 63 dBSPL.