Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 5 - Exponential and Logarithmic Functions - 5.4 Logarithmic Functions - 5.4 Assess Your Understanding - Page 297: 130

Answer

$110$ decibels

Work Step by Step

$L(10^{-1})=10\log{\left(\frac{10^{-1}}{I_0}\right)}$. Here, we have $I_0=10^{-12}$. Hence, after substituting that in, we'd have: $L(0^{-1}) \\=10\log{\left(\frac{10^{-1}}{10^{-12}}\right)} \\=10\log{(10^{-1+12})} \\=10\log{10^{11}} \\=10\cdot11 \\=110$
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