Intermediate Algebra (6th Edition)

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

Chapter 9 - Section 9.5 - Logarithmic Functions - Exercise Set: 86

Answer

-1

Work Step by Step

We are given the expression $\frac{x-5}{5-x}$. We can use the distributive property to factor out a -1 from the numerator. $x-5=-1(-x+5)=-1(5-x)$ Therefore, the expression simplifies to expression as $\frac{-1(5-x)}{5-x}$. In this case, the numerator is the opposite of the denominator, so this fraction simplifies to -1.
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