Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 5 - Exponential and Logarithmic Functions - 5.4 Logarithmic Functions - 5.4 Assess Your Understanding: 10

Answer

$C$

Work Step by Step

Recall that in $f(x)=\log_a{x}, x \gt 0$. Thus, in the given function, $x+2$ must be greater than $0$. Hence, $x+2\gt 0$. Subtracting $2$ from both sides gives $x\gt -2$. Therefore, the correct answer is $C$.
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