Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Section 4.7 - Logarithmic Scales - 4.7 Exercises - Page 386: 15

Answer

$ \approx 73 dB$

Work Step by Step

Given the decibel equation $B = 10 \log \frac{I}{I_{0}}$ with $I_{0} = 10^{-12} \frac{W}{m^2}$ Given the intensity of the sound of traffic at $I = 2.0 * 10^{-5} \frac{W}{m^2}$ Find the decibel level $B = 10 \log \frac{2.0 * 10^{-5}}{10^{-12}}$ $B = 10 \log (2 * 10^7)$ $B \approx 73 dB$
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