Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 9 - Section 9.3 - Logarithmic Functions - Concept and Vocabulary Check: 7

Answer

$(0, +\infty)$

Work Step by Step

RECALL: $y=\log_b{x} \longrightarrow b^y=x, b \gt0, b\ne1$ Note that the value of $b^y$ will never be zero nor be negative. This means that the logarithmic function is defined or $x \gt 0$. Thus, the domain of the logarithmic function $f(x)=\log_b{x}$ is: $(0, +\infty)$
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