Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 5 - Exponential and Logarithmic Functions - 5.4 Logarithmic Functions - 5.4 Assess Your Understanding - Page 296: 92



Work Step by Step

We know that if $\log_a {y}=x$ then $a^x=y$. Hence, if $\log_3 {(3x-2)}=2$, then $3^2=3x-2$. Solve the equation above to obtain: \begin{align*} 9&=3x-2\\ 9+2&=3x\\ 11&=3x\\ x&=\frac{11}{3}\end{align*}
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