Answer
$\boxed{\text{False}}$
Work Step by Step
The domain of a logarithmic function is actually the interval $x>0$. A value that is less than 1 but greater than 0 will result in a negative number, but the function does still exist.
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 6 - Exponential, Logarithmic, And Inverse Trigonometric Functions - 6.1 Exponential And Logarithmic Functions - Exercises Set 6.1 - Page 419: 38
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