Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.2 - Exponential Functions - Exercise Set - Page 463: 34

Answer

$\dfrac{1}{2}$

Work Step by Step

RECALL: $\log_b{b^x} = x.$ Note that $9=\sqrt{81} = 81^{\frac{1}{2}}.$ Thus, the given expression can be written as $\log_{81}{81^{\frac{1}{2}}}.$ Use the rule above to obtain: $\dfrac{1}{2}.$
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