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 - Concept and Vocabulary Check: 7

Answer

If $\ln\Big(\dfrac{7x-23}{x+1}\Big)=\ln(x-3)$, then $\dfrac{7x-23}{x+1}=x-3$

Work Step by Step

To obtain the answer, the One-to-One Property of Logarithms must be used. This property states that if $\log_{b}M=\log_{b}N$, then $M=N$ In this case, just make the expressions inside each of the logarithms equal to each other.
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