Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 1 - Functions - 1.3 Inverse, Exponential, and Logarithmic Functions - 1.3 Exercises: 9

Answer

Domain: $(0,\infty)$ Range: $(-\infty,\infty)$

Work Step by Step

Because the range of $b^{x}$ is $(0,\infty)$ the domain of $log_{b}x$ is $(0,\infty)$. The domain of $b^{x}$ is $(-\infty,\infty)$ which implies the range of $log_{b}x$ is $(-\infty,\infty)$.
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