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: 24

Answer

$x=3$

Work Step by Step

First, we let $\log_{3}{27} = x$ RECALL: $\log_b{y} =x \longrightarrow b^x=y$ Use the rule above, where y=27 and b=3, to obtain: $3^x=27$ Write 27 as $ 3^3$ to obtain: $3^x=3^3$ Use the rule "If $a^x=a^y$, then $x=y$" to obtain: $x=3$
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