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 4.3 - Page 478: 118

Answer

By substituting $y = 1$, we can disprove the equality between both sides of the equal sign.

Work Step by Step

(a) $$\ln{(x-y)} = \ln x - \ln y$$ $$\ln(x - 1) = \ln x - \ln(1)$$ $$\ln(x - 1) = \ln x - 0$$ $$\ln(x - 1) \neq \ln x$$ (b) $\ln (x-1)$ is the blue line; $\ln x$ is the green line.
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