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: 125

Answer

$h=2.29$ hours

Work Step by Step

$D=5e^{-0.4h}$, hence if $D=2$, then $2=5e^{-0.4h}$. Solve the equation above to obtain: \begin{align*}\frac{2}{5}&=e^{-0.4h}\\ \ln{\frac{2}{5}}&=-0.4h\\ \dfrac{\ln{\frac{2}{5}}}{-0.4}&=h\\ 2.29&\approx h\end{align*}.
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.