Answer
$x=0.693$
Work Step by Step
$500e^{-2x}=125$
$e^{-2x}=\frac{125}{500}=0.25$
$\ln e^{-2x}=\ln0.25~~$ (Using the Inverse Property $\ln e^x=x$):
$-2x=\ln0.25$
$x=\frac{\ln0.25}{-2}=0.693$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 5 - 5.4 - Exponential and Logarithmic Equations - 5.4 Exercises - Page 395: 32
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