Question 364537: Hi, I need your help! I have to show my work with the problem below, but I am not sure how to do it. Could someone please help me?
Can you show me the steps I need to take?
Thanks!
Section 12.3, #93
The loudness level of a sound can be expressed by comparing the sound's intensity to the intensity of a sound barely audible to the human ear. The formula D=10(logI-logl)describes the loudness level of a sound, D, in decibels, where I is the intensity of the sound, in watts per meter^2 and I is the intensity of a sound barely audible to the human ear.
a.) Express the formula so that the expression in parentheses is written in single logarithm.
b.) Use the form of the formula from part (a) to answer this question. If a sound has an intensity 100 times the intensity of a softer sound, how much larger on the decibel scale is the loudness level of the more intense sound?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! The loudness level of a sound can be expressed by comparing the sound's intensity
to the intensity of a sound barely audible to the human ear.
The formula D=10(logI-logl)describes the loudness level of a sound, D, in
decibels, where I is the intensity of the sound, in watts per meter^2 and
l is the intensity of a sound barely audible to the human ear.
:
a.) Express the formula so that the expression in parentheses is written in single logarithm.
D=10(logI-logl)
Subtracting logs indicates division, therefore
D = 
:
:
b.) Use the form of the formula from part (a) to answer this question. If a sound has an intensity 100 times the intensity of a softer sound, how much larger on the decibel scale is the loudness level of the more intense sound?
D = 
D = 10 * 2
D = 20 db
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