College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 4 - Exponential and Logarithmic Functions - Concept and Vocabulary Check: 13

Answer

... $5-x>0$

Work Step by Step

Book reference: Last sentence before example 7. The domain of $f(x)=\log_{b}g(x)$ consists of all $x$ for which $g(x)>0$. In other words, the logarithmic function is defined only for positive arguments, so $\log_{5}(5-x)$ is defined only if $5-x>0$
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