An equation for loudness(L) in decibels (dB) of a sound source as a function of its relative intensity (R) is below.

Question

L=10log(R)

a. Solve this equation to find the relative intensity as a function of loudness. That is solve for R.

b. A Led Zeppelin concert reaches a loudness of 85 dB. A more mellow Jack Johnson concert reaches a peak loudness of 77 dB. What is the ratio of the relative intensity of Led Zeppelin to Jack Johnson.

please help me solve this

Answer 1

L=10log(R)
L/10 = log R
10^(L/10) = R

Find R for each of the performers, then form the ratio

Answer 2

dividing by 10 ... L/10 = log(R)

taking antilog ... 10^(L/10) = R