Question

Please check this logarithm question...
The loudness level of sound can be expressed by comparing the sound's intensity to the intensity of a sound barely audible tot he human ear. The formula D = 10(log I - log I0) 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(0) is the intensity of a sound barely audible to the human ear.
a. Express the formula so that the expression in parentheses is written as a single logarithm.
b. Continued below...

Answer 1

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 2

My Answers.
A. \[D=10*(Log(\frac{ I }{ I _{0} }))\]
B. D=20

Answer 3

Logarithm is a confusing topic. I am also equally confuse about the concepts.

Answer 4

Yes I know,, I just want to make sure I have these right before I turn them in...