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 - Page 404: 21


(a) $x=\frac{1}{4}(1-\ln 2)$ (b) $x\approx 0.076713$

Work Step by Step

(a) We need to solve: $e^{1-4x}=2 $ We take the natural log of both sides and use log rules to simplify: $1-4x \ln e=\ln 2$ $1-4x=\ln 2$ $-4x=-1+\ln 2$ $x=\frac{1}{4}(1-\ln 2)$ (b) We use a calculator to solve: $x\approx 0.076713$
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