Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.2 - Exponential Functions - Exercise Set - Page 464: 80


Domain:$\quad (-\infty, 7) \cup (7, \infty)$ or, $\{x\in \mathbb{R}\ |\ x\neq 7\}$

Work Step by Step

Logarithmic functions are defined for positive arguments only. The argument here is $(x-7)^{2}$, which is never negative. The only problem is when it is zero. So, the domain is all reals except $7$. Domain:$\quad (-\infty, 7) \cup (7, \infty)$ or, $\{x\in \mathbb{R}\ |\ x\neq 7\}$
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