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 395: 18

Answer

$x=9$

Work Step by Step

According to the graph the point of intersection is between $x=8$ and $x=10$, that is, it must be close to $x=9$. $f(x)=g(x)$ $\log_3x=2$ $3^{\log_3x}=3^2~$ (Use the Inverse Property: $a^{\log_ax}=x$): $x=9$
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