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: 17

Answer

$I = 10^{-5} \frac{W}{m^2}$

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 decibel level of a hair dryer at $B = 70dB$ Find the sound intensity $70 = 10 \log \frac{I}{10^{-12}}$ $7 = \log \frac{I}{10^{-12}}$ $10^7 = \frac{I}{10^{-12}}$ $I = 10^{-5} \frac{W}{m^2}$
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