Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Section 4.5 - Exponential and Logarithmic Functions - 4.5 Exercises - Page 368: 8

Answer

$x=\dfrac{6}{5}$

Work Step by Step

$e^{1-2x}=e^{3x-5}$ Simply use the one-to-one property to solve this equation. Make the exponents on both sides of the equation equal: $1-2x=3x-5$ Take the $3x$ to the left side of the equation and take the $1$ to the right side: $-2x-3x=-5-1$ Simplify both sides: $-5x=-6$ Solve for $x$: $x=\dfrac{6}{5}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.