Question 364537
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 = {{{10*log(I/l)}}}
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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 = {{{10*log(100)}}}
D = 10 * 2
D = 20 db
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