Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 9 - Section 9.3 - Logarithmic Functions - 9.3 Exercises: 52

Answer

{$x$|$x\gt0$,$x\ne1$}

Work Step by Step

For all positive numbers $a$, where $a\ne1$, and all positive numbers $x$, we know that $y=log_{a}x$ means the same as $x=a^{y}$. Therefore, $log_{x}1=0$ means the same as $x^{0}=1$. We know that $x$ will be a solution for any positive number other than 1, because $x^{0}=1$ will hold for all positive numbers.
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