Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 4 - Exponential and Logarithmic Functions - Section 4.5 Properties of Logarithms - 4.5 Assess Your Understanding - Page 331: 2



Work Step by Step

Recall: $$\log_a{x}=y \longrightarrow a^y=x$$ Let $\quad \log _{a} a=y$ Then, using the definition above gives: $$\log _{a}{a}=y\longrightarrow a^y=a\longrightarrow y=1$$ Hence, $$\log_a{a}=y=1$$
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