Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 12 - Section 12.6 - Integrated Review - Functions and Properties of Logarithms: 34

Answer

$\log_{2}x+\log_{2}(x-3)-\log_{2}(x^{2}+4)=\log_{2}\dfrac{x(x-3)}{x^{2}+4}$

Work Step by Step

$\log_{2}x+\log_{2}(x-3)-\log_{2}(x^{2}+4)$ Combine $\log_{2}x+\log_{2}(x-3)$ as the $\log$ of a product: $\log_{2}x(x-3)-\log_{2}(x^{2}+4)=...$ Combine $\log_{2}x(x-3)-\log_{2}(x^{2}+4)$ as the $\log$ of a division: $...=\log_{2}\dfrac{x(x-3)}{x^{2}+4}$
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