An equation for loudness L in decibels is given by L=10logR , where R is the relative intensity of the sound compared to the minimum threshold of human hearing. One city’s emergency weather siren is 138 decibels loud. How many times greater than the minimum threshold of hearing is the siren?

1 answer

10 logR = 138
logR = 13.8
R = 10^13.8 ≈ 6.3 * 10^13