Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 12 - Exponential Functions and Logarithmic Functions - 12.6 Solving Exponential Equations and Logarithmic Equations - 12.6 Exercise Set - Page 825: 3



Work Step by Step

Yes. When we defined a logarithmic function, we defined it as the inverse function of an exponential function $f(x)=a^{x}$, which has the range $(0,+\infty)$. The range of f is the domain of $\log_{a}x$, so logarithms are defined for positive numbers only.
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