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 - Exercise Set: 38

Answer

$x=0$

Work Step by Step

Let $\log_{6}{1} = x$ RECALL: $\log_b{y} =x \longrightarrow b^x=y$ Use the rule above, where $y=1$ and $b=6$, to obtain: $6^x=1$ Write 1 as $6^0$ to obtain: $6^x=6^0$ Use the rule "If $a^x=a^y$, then $x=y$" to obtain: $x=0$
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