Question

the loudness L of a sound in decibels is given L=10log10R, where R is the sound's relative intensity. if the intensity of a certain sound is tripled, by how many decibels does the sound increase?

due tomorrow, tuesday, april 5th, 2011.
help pleaseeeee ;)

Answer 1

say original R = 1
final R = 3
L1 = 10 log 10
L2 = 10 log 30

L2 - L1 = 10 (log 30-log 10)

= 10 log 30/10
=10 log 3
= 4.77 dB

Answer 2

ahhhhhh thank you! you're my mathematical hero :) hahaha