Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 6 - Exponential, Logarithmic, And Inverse Trigonometric Functions - 6.1 Exponential And Logarithmic Functions - Exercises Set 6.1 - Page 419: 28



Work Step by Step

Factor the left side of the equation to get $e^{x}(1-2x)=0$. If one of the factors equal zero, the entire expression equals zero. $e^{x}$ can never equal zero, so there is no solution. Solving $1-2x=0$ by adding $2x$ to each side and dividing by $2$ leaves $x=\frac{1}{2}$.
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