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/I0) where I0 is the threshold o

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Question 1087558: 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.
Find the loudness when I is 10,000 times I0. This is the intensity level of the average voice.
L =
Incorrect: Your answer is incorrect. .
dB
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

L+=+10+log%28I%2FI%5B0%5D%29
Find the loudness when +I+=10000%2A+I%5B0%5D.
L+=+10+log%28%2810000%2A+I%5B0%5D%29%2FI%5B0%5D%29
L+=+10+log%2810000%29
L+=+log%2810000%5E10%29
L+=+log%2810000%5E10%29%2Flog%2810%29
Llog%2810%29+=+log%28%2810%5E4%29%5E10%29
log%2810%5EL%29+=+log%2810%5E40%29
10%5EL=10%5E40
L=40

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

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.
Find the loudness when I is 10,000 times I0. This is the intensity level of the average voice.
L =
Incorrect: Your answer is incorrect. .
dB
L+=+10+%2A+log+%28%28I%2FI%5Bo%5D%29%29
L+=+10+%2A+log+%28%28%28%2210%2C000%22+%2A+I%5Bo%5D%29%2FI%5Bo%5D%29%29 ------- Substituting %2210%2C000%22+%2A+I%5Bo%5D for I
 
L+=+10+%2A+log+%28%28%2210%2C000%22%29%29
 ------- Replacing log+%28%28%2210%2C000%22%29%29 with 4, since