Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 9 - Section 9.3 - Logarithmic Functions and Models - Exercises - Page 659: 66a

Answer

Whisper: $D\approx 21$ DB TV: $D\approx 75$ DB Loud music: $D\approx 120$ DB Jet aircraft: $D\approx 140$ DB

Work Step by Step

$D=10\displaystyle \log\frac{I}{I_{0}}$ Whisper: $D=10\displaystyle \log\frac{115\times 10^{-12}}{10^{-12}}\approx 21$ DB TV: $D=10\displaystyle \log\frac{320\times 10^{-7}}{10^{-12}}\approx 75$ DB Loud music: $D=10\displaystyle \log\frac{900\times 10^{-3}}{10^{-12}}\approx 120$ DB Jet aircraft: $D=10\displaystyle \log\frac{100}{10^{-12}}\approx 140$ DB
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