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 patentheses is written as a 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

Answer 1

*continued..... 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