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


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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.