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: 8

Answer

$log_{6}(15x+60)$

Work Step by Step

We know that $log_{b}xy=log_{b}x+log_{b}y$ (where $x$, $y$, and $b$ are positive real numbers and $b\ne1$). Therefore, $log_{6}3+log_{6}(x+4)+log_{6}5=log_{6}(3\times5\times(x+4))=log_{6}(15\times(x+4))=log_{6}(15x+60)$.
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