Q the Sound equipment is located 500 m nearby resident if so

Q: the Sound equipment is located 500 m nearby resident, if sound pressure level was measured at 5 m from the equipment is 100 dB, what is sound pressure level at 500 m?

Solution

at the distance , d1 = 5 m

sound level at 5 m = 100 dB

at the distance d2 = 500 m

Now , for the sound level at 500 m

sound level at 500 m = 100 - 10 * 2 * log(d2/d1)

sound level at 500 m = 100 - 20 * log(500/5)

sound level at 500 m = 100 - 200

sound level at 500 m = -100 dB