SOLUTION: 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/i_0) where i_0 is the threshold of hearing

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 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/i_0) where i_0 is the threshold of hearing      Log On


   

Question 1006431: 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/i_0)
where i_0 is the threshold of hearing for the average human ear.
A sound that causes pain has intensity about 10^14 times
i_0. Find the decibel reading for this threshold.
have no idea where to start or do this problem
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I think I know what they are after
+L+=+10%2Alog%28%28+i%2Fi%5B0%5D+%29%29+
I believe they are saying:
+i+=+10%5E14+%2A+i%5B0%5D+
Plug this into the equation
+L+=+10%2Alog%28%28+%28+10%5E14%2Ai%5B0%5D+%29%2Fi%5B0%5D+%29%29+
+L+=+10%2Alog%28+10%5E14+%29+
+L+=+10%2A14+
+L+=+140+
Hope I got it