College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 4, Exponential and Logarithmic Functions - Chapter 4 Review - Exercises - Page 426: 108

Answer

$10^{10.4}$.

Work Step by Step

The formula for the Decibel Scale is, $B=10\log \frac{I}{I_0}$. Whereas $I$ is the Intensity of the sound and $I_0$ is the reference Intentisy equal to $10^{-12}$. $\frac{B}{10}=\log \frac{I}{I_0}$, $10^{\frac{B}{10}}= \frac{I}{I_0}$, $I=10^{\frac{B}{10}}\times I_0$, $I_1=10^{13.2}\times10^{-12}$, $I_1=10^{1.2}$, $I_2=10^{2.8}\times10^{-12}$, $I_2=10^{-9.2}$. Therefore, The ratio is $\dfrac{I_1}{I_2}=10^{10.4}$.
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