Answer
$x=0.525$
Work Step by Step
$100e^{-2x}=35$
$e^{-2x}=\frac{7}{20}$
$-2x$ $ln(e)=ln(\frac{7}{20})$
$2x=-ln(\frac{7}{20})$
$x=\frac{-ln(\frac{7}{20})}{2}$
$\approx 0.5249110622$
$=0.525$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.4 Exercises - Page 352: 8
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