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 - Page 295: 39

Answer

$x \gt 3$

Work Step by Step

By the definition of the logarithmic function we can only take the logarithm of a positive number. Hence, in the expression $\log_a {A}$ or $\ln {A}$, $A$ must be positive. Thus, $x-3\gt 0\\ x \gt 3$
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