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 - Concept and Vocabulary Check - Page 463: 5

Answer

$x$

Work Step by Step

RECALL: $\log_b{x} = y \longrightarrow b^y = x.$ Let $y = \log_b{b^x}.$ Use the rule above to obtain $b^y=b^x.$ Use the rule "If $a^x=a^y$, then $x=y$" to obtain $b^y=b^x \\y=x.$ Therefore, $\log_b{b^x} = x.$
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