Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 5 - 5.4 - Exponential and Logarithmic Equations - 5.4 Exercises - Page 396: 64

Answer

$y=6^{1-x}$ (Green) $y=25$ (Red) By observation of the graph: Solution: $x\approx-0.450$. It is just a visual approximation. Algebraically: $x=-0.427$
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Work Step by Step

$6e^{1-x}=25$ $e^{1-x}=\frac{25}{6}$ $\ln e^{1-x}=\ln\frac{25}{6}$ $1-x=\ln\frac{25}{6}$ $x=1-\ln\frac{25}{6}=-0.427$
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