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: 21

Answer

$=2$

Work Step by Step

First, we let $\log_{4}{16} = x$ RECALL: $\log_b{y} =x \longrightarrow b^x=y$ Use the rule above, where y=16 and b=4, to obtain: $4^x=16$ Write 16 as $ 4^2$ to obtain: $4^x=4^2$ Use the rule "If $a^x=a^y$, then $x=y$" to obtain: $x=2$
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