Glencoe Algebra 2

Question

An equation for loudness, in decibels, is L = 10 log 10 R , where R is the relative intensity of the sound. Sounds that reach levels of 120 decibels or more are painful to humans. What is the relative intensity of 120 decibels

Answer 1

10 log(R) = 120

log(R) = 12

R = 10¹²

----

From the definition of a logarithm:

10^log(x) = x