How do you do this???? im confused

Question

A rock band plays at a(n) 90 dB sound level.

(a) How many times greater is the sound pressure from another rock band playing at 100 dB?

(b) How many times greater is the sound pressure from another rock band playing at 125 dB?

Answer 1

a) 10 dB higher

10 dB on a power level is:

10 = 10 log R

1 = log R

R = 10^1 = 10, so the sound is 10 times higher

b) 25 dB higher

25 dB on a power level is:

25 = 10 log R

2.5 = log R

R = 10^2.5 = 316, so the sound is 316 times higher

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