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: 30

Answer

(a) $x=\frac{\ln 19-1}{4}$ (b) $x\approx 0.486110$

Work Step by Step

(a) We need to solve: $1+e^{4x+1}=20$ $e^{4x+1}=20-1=19$ We take the natural log of both sides and use log rules to simplify: $\ln e^{4x+1}=\ln 19$ $4x+1=\ln 19$ $x=\frac{\ln 19-1}{4}$ (b) We solve using a calculator: $x\approx 0.486110$
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