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: 77

Answer

Domain: $(0,2)$

Work Step by Step

We need to find the domain of the given function: $h(x)=\ln x+\ln(2-x)$ We know that we can't take the log of a negative number, so: $x\gt 0$ Also: $2-x\gt 0$ $x\lt 2$ Thus overall: $0\lt x\lt 2$ Therefore, the domain is: $(0,2)$.
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