Answer
See below.
Work Step by Step
Our equation is: $2=5e^{-0.4h}\\0.4=e^{-0.4h}\\\ln{0.4}=-0.4h\\h=\ln{0.4}\frac{1}{-0.4}\approx2.29$
, which is approximately $2$ hours and $17$ minutes.
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter 6 - Section 6.4 - Logarithmic Functions - 6.4 Assess Your Understanding - Page 451: 125
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