Precalculus (6th Edition) Blitzer

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

Chapter 3 - Section 3.2 - Exponential Functions - Exercise Set - Page 465: 117

Answer

Yes, $187.993$ decibels

Work Step by Step

We need to plug in the intensity level as given in the statement into the formula for decibels. We have $10 \log [(10^{12}) (6.3 \times 10^6)]$ Re-written as: $10 \log (6.3 \times 10^{18})$ Now, use a calculator to find the logarithmic value So, we have $ 10 \log (6.3 \times 10^{18})=187.993$ decibels Thus, our result is: $187.993$ decibels, which can rupture the human eardrum.
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