Approximately how many times louder is a 155-dB sound than a 75-dB sound?

Question

Approximately how many times louder is a 155-dB

 sound than a 75-dB

 sound?

Answer 1

The two sounds have a difference of 80 dB = 8 B

(recall 1 B = 10 dB)

In general, if a sound is 1 B greater than another then its energy is 10 times greater,

in other words, 10 times louder.

Therefore a difference of 8 B means 10^8 = 100,000,000 times louder.