Answer
$\text{false}$
Work Step by Step
Recall the quotient rule for logarithms:
$$\ln A-\ln B=\ln \frac{A}{B}$$
This means that
$$\ln (x+3)-\ln (2 x)=\ln \left(\frac{x+3}{2 x}\right)$$
Therefore, the given statement must be false.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 4 - Exponential and Logarithmic Functions - Section 4.5 Properties of Logarithms - 4.5 Assess Your Understanding - Page 331: 10
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