Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 9 - Section 9.3 - Logarithmic Functions - Concept and Vocabulary Check - Page 700: 4



Work Step by Step

RECALL: $\log_b{x}=y \longrightarrow b^y=x$ Let $\log_b{b} = y$ Use the rule above to obtain: $\log_b{1}=y \longrightarrow b^y=1$ Note that $b^0=1$. Replace $1$ with its equivalent $b^0$ to obtain: $b^y=b^0$ Use the rule $a^m=a^n \longrightarrow m=n$ to obtain: $b^y=b^0 \longrightarrow y = 0$ Thus, the missing expression in the given statement is: $0$
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