Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.3 - Properties of Logarithms - Exercise Set - Page 476: 99

Answer

True.

Work Step by Step

Applying the quotient rule to the LHS: $\displaystyle \quad \log_{b}(\frac{M}{N})=\log_{b}\mathrm{M}-\log_{b}\mathrm{N}$ $\displaystyle \log_{6}\left(\frac{x-1}{x^{2}+4}\right)=\log_{6}(x-1)-\log_{6}(x^{2}+4)$ Thus, the statement is true.
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