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: 100

Answer

True

Work Step by Step

Applying the Product Rule: $\log_{\mathrm{b}}(\mathrm{M}\mathrm{N})=\log_{\mathrm{b}}\mathrm{M}+\log_{\mathrm{b}}\mathrm{N}$, LHS= $\log_{6}[4\cdot(x+1)]=\log_{6}4+\log_{6}(x+1),$ which equals the RHS of the problem statement. So, the problem statement is true.
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