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: 68

Answer

$y=10-4\ln(x-2)$ (Green) By observation of the graph: Solution: $x\approx14.100$. It is just a visual approximation. Algebraically: $x=14.182$
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Work Step by Step

$10-4\ln(x-2)=0$ $10=4\ln(x-2)$ $2.5=\ln(x-2)$ $e^{2.5}=e^{\ln(x-2)}$ $x-2=e^{2.5}$ $x=2+e^{2.5}=14.182$
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