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: 66

Answer

$y=e^{0.09t}$ (Green) $y=3$ (Red) By observation of the graph: Solution: $x\approx12.200$. It is just a visual approximation. Algebraically: $x=12.207$
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Work Step by Step

$e^{0.09t}=3$ $\ln e^{0.09t}=\ln3$ $0.09t=\ln3$ $x=\frac{\ln3}{0.09}=12.207$
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