Algebra: A Combined Approach (4th Edition)

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

Chapter 12 - Test - Page 910: 13

Answer

$\log_{5} (\frac{x^{4}}{x+1})$

Work Step by Step

$\log_{5} x+3\log_{5} x-\log_{5}(x+1)$ =$\log_{5} x+\log_{5} x^{3}-\log_{5}(x+1)$ =$\log_{5} (x\times x^{3})-\log_{5}(x+1)$ =$\log_{5} (x^{4})-\log_{5}(x+1)$ =$\log_{5} (\frac{x^{4}}{x+1})$
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