Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Review Exercises - Page 513: 70

Answer

$ x\approx 1.43$

Work Step by Step

$ e^{12-5x}-7=123\qquad $ ... add 7 to both sides $ e^{12-5x}=130\qquad $ ... apply $\ln $( ) to both sides $\ln e^{12-5x}=\ln 130\qquad $ ... apply basic property, $\log_{b}b^{x}=x $ $12-5x= \ln 130\qquad $ ... add $5x-\ln 130$ to both sides $ 12-\ln 130=5x\qquad $...divide both sides with $5$ $ x=\displaystyle \frac{12-\ln 130}{5}\qquad $... round to two decimal places $ x\approx 1.43$
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