College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.2 - Page 468: 125


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Work Step by Step

The domain of a logarithmic function of the form $f(x)=\log_{b}x$ is the set of all positive real numbers. The domain of $f(x)=\log_{b}g(x)$ consists of all $x$ for which $g(x)>0$. ------------ To find the domain, we must solve the inequality $g(x) > 0$, whose solution set will be all numbers x such that f(x) is defined. In other words, the domain of f.
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