Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 9 - Review - Page 597: 56

Answer

$x=-2$

Work Step by Step

If $b\gt0$ and $b\ne1$, then $y=log_{b}x$ means $x=b^{y}$ for every $x\gt0$ and every real number $y$. Therefore, $log_{7}7^{-2}=x$ means $7^{x}=7^{-2}$. We know that $x=-2$, because $(7)^{-2}=7^{-2}$.
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