Question

You are in the front row at a large music festival. Your favorite musical group just finished an epic set only 5.0m from your face! unfortunately, the next artist feels a need to overcome the comparative mediocrity with painfully high volume, inserting "music" into your ear at 120 dB. Assuming the sound radiates equally in all directions, how far away must you move before it is reduced to a level of 60 dM, that of a typical conversation?

Answer 1

Here,

let the distance from the speaker is d

for the power output

60 = 120 - 20 * log(d/d1)

as d1 = 5 m

60 = 120 - 20 * log(d/5)

solving for d

d = 5000 m

the person shall move 5000 m away from the speakers