The loudness of sound (L, measured in decibels) perceived by the human ear depends on intensity levels
Question:
L = 10 log (I / I0)
where I0 is the standard threshold of audibility. If x = I/I0, then using the change-of-base formula, we get L = 10 ln (x) / ln 10
At what rate is the loudness changing with respect to x when the intensity is 100 times the standard threshold of audibility (that is, when x = 100)?
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Related Book For 
Mathematical Applications for the Management Life and Social Sciences
ISBN: 978-1305108042
11th edition
Authors: Ronald J. Harshbarger, James J. Reynolds
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