Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 9 - Section 9.6 - Properties of Logarithms - Exercise Set: 15

Answer

$log_{2}\frac{x^{2}+6}{ x^{2}+1}$

Work Step by Step

The quotient property of logarithms tells us that $log_{b}\frac{x}{y}=log_{b}x-log_{b}y$ (where x, y, and, b are positive real numbers and $b\ne1$). Therefore, $log_{2}(x^{2}+6)-log_{2}(x^{2}+1)= log_{2}\frac{x^{2}+6}{ x^{2}+1}$.
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