Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 12 - Section 12.6 - Properties of Logarithms - Exercise Set - Page 882: 80

Answer

$\log_b1$ is equal to 0, so $\log_b7-\log_b1 = \log_b7 - 0 = \log_b7$.

Work Step by Step

As long as the value of $b$ is greater than $0$ and not $1$, $\log_b1$ is always equal to 0. This is because $b^x=1$, where $b$ is greater than $0$ and not $1$, is only true when $x=0$.
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