Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 9 - Section 9.3 - Logarithmic Functions - 9.3 Exercises: 61

Answer

{30}

Work Step by Step

For all positive numbers $a$, where $a\ne1$, and all positive numbers $x$, we know that $y=log_{a}x$ means the same as $x=a^{y}$. Therefore, $log_{4}(2x+4)=3$ means the same as $4^{3}=2x+4$. We know that $4^{3}=64$, so we can set $64=2x+4$. Subtract 4 from both sides. $2x=60$ Divide both sides by 2. $x=30$
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