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: 4



Work Step by Step

RECALL: $\log_b{x} = y \longrightarrow b^y = x.$ Let $y = \log_b{1}.$ Use the rule above to obtain $b^y=1.$ Use the rule "If $a^x=a^y$, then $x=y$" (note that $1=b^0$) to obtain $b^y=1 \\b^y=b^0 \\y=0.$ Therefore, $\log_b{1} = 0.$
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