College Algebra 7th Edition

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

Chapter 4, Exponential and Logarithmic Functions - Section 4.7 - Logarithmic Scales - 4.7 Exercises - Page 422: 20

Answer

$10^{2.4}$

Work Step by Step

From the definition of decibel level we see that, $B=10\log \frac{I}{I_0}$, $\frac{B}{10}=\log \frac{I}{I_0}$, $10^{\frac{B}{10}}=\frac{I}{I_0}$, $I=I_0\times 10^{\frac{B}{10}}$, $I_1=10^{10.6}\times10^{-12}=10^{-2.4}$, $I_2=I_0\times 10^{\frac{B}{10}}$, $I_2=10^{12}\times10^{-12}$, $I_2=1$. Therefore, the ratio is, $\dfrac{1}{10^{-2.4}}=10^ {2.4}$
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