Intermediate Algebra (6th Edition)

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

Chapter 9 - Section 9.5 - Logarithmic Functions - Exercise Set: 61

Answer

$x=10$

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, $log_{x}100=2$ is equivalent to $x^{2}=100$. Now, take the square root of both sides of $x^{2}=100$. $\sqrt (x^{2})=\sqrt 100$ $x=10$
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