The decibel rating D is related to the sound intensity I by

Last updated: 7/10/2022

The decibel rating D is related to the sound intensity I by the formula D = 10 log10(I/10^-16)for the noise level in decibels. (a) Let D and d represent the decibel ratings of sounds of intensity I and i, respectively. Using properties of logarithms, find a simplified formula for the difference between the two ratings, D-d, in terms of the two intensities I and i. D-d= (b) If a sound's intensity quadruples, how many decibels louder does the sound become?