Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 6 - Exponential, Logarithmic, And Inverse Trigonometric Functions - 6.1 Exponential And Logarithmic Functions - Exercises Set 6.1: 17

Answer

$x=\frac{1}{100}$

Work Step by Step

Putting a base of $10$ on each side yields $10^{\log(\sqrt{x})}=10^{-1}$, which equals $\sqrt{x}=\frac{1}{10}$. Squaring each side gives $x=\frac{1}{100}$.
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