A sound that causes pain has intensity about 1014 times i0

Question

Question: Decibel readings in Problem use the fact that the loudness of sound (in decibels) perceived by the human ear depends on intensity levels according to

L = 10 log (I/I₀)

where I₀ is the threshold of hearing for the average human ear.

A sound that causes pain has intensity about 1014 times I₀. Find the decibel reading for this threshold.