College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 4, Exponential and Logarithmic Functions - Section 4.3 - Logarithmic Functions - 4.3 Exercises: 74

Answer

Domain: $(-\infty,\ 4)$

Work Step by Step

We need to find the domain of the given function: $f(x)=\log_{5}(8-2x)$ We know that we can't take the log of a negative number, so: $8-2x\gt 0$ $8\gt 2x$ $4\gt x$ Thus the domain is: $(-\infty,\ 4)$
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