Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Test - Page 515: 19


The required value is $120\text{ decibels}$

Work Step by Step

According to the given information in the question, $D=10\log \left( \frac{I}{{{I}_{o}}} \right)$ And $I={{10}^{12}}{{I}_{o}}$ Plug in the value: $D=10\log \left( \frac{{{10}^{12}}{{I}_{o}}}{{{I}_{o}}} \right)$ Use $\log \left( {{a}^{b}} \right)=b\log \left( a \right)$ to obtain: $\begin{align} & D=10\cdot 12\log \left( 10 \right) \\ & D=120 \end{align}$
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