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: 129

Answer

$50$ decibels

Work Step by Step

$L(10^{-7})=10\log{\left(\frac{10^{-7}}{I_0}\right)}$. Here $I_0=10^{-12}$, hence after substituting that in: $L(10^{-7}) \\=10\log{\left(\frac{10^{-7}}{10^{-12}}\right)} \\=10\log{\left(10^{-7+12}\right)} \\=10\log{(10^5)} \\=10\cdot5 \\=50$
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.