Answer
True.
Work Step by Step
$f(x)= \ln (x+2)$
$\ln x$ means $\log_{e}x.$
Logarithmic functions are defined for positive arguments,
$ x+2\gt0$
$x\gt -2\quad$ or, $\quad x\in(-2,\infty)$
The statement is true.
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 12 - Exponential Functions and Logarithmic Functions - 12.5 Common Logarithms and Natural Logarithms - 12.5 Exercise Set - Page 818: 8
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