College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 4, Exponential and Logarithmic Functions - Section 4.5 - Exponential and Logarithmic Functions - 4.5 Exercises: 47

Answer

$x=0$ $x=\frac{4}{3}$

Work Step by Step

We need to solve: $4x^{3}e^{-3x}-3x^{4}e^{-3x}=0$ We factor: $x^{3}e^{-3x}(4-3x)=0$ $x^{3}=0$ or $e^{-3x}=0$ or $(4-3x)=0$ $x=0$ or $x=-\frac{1}{3}\ln 0$=no solution, or $x=\frac{4}{3}$
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