Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 9 - Section 9.3 - Logarithmic Functions and Models - Exercises - Page 660: 75

Answer

$x=\log_{4}y$

Work Step by Step

From the definition of a logarithmic function, we have: $\quad \log_{b}x=y\quad $ means $\quad b^{y}=x$ Here, $b=4$, and $x$ and $y$ have exchanged places. $y=b^{x}\quad\Leftrightarrow\quad x=\log_{b}y$ $x=\log_{4}y$
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