Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 5 - 5.3 - Properties of Logarithms - 5.3 Exercises - Page 387: 94


False. $\sqrt {f(x)}\ne\frac{1}{2}f(x)$

Work Step by Step

Use the Power Property: $\frac{1}{2}f(x)=\frac{1}{2}\ln x=\ln x^{\frac{1}{2}}=\ln\sqrt x=f(\sqrt x)\ne\sqrt {f(x)}=\sqrt {\ln x}$
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