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: 121

Answer

True

Work Step by Step

The logarithm of a sum can be understood to be something along the lines of $$\log_{b}(m + n)$$ Equaling this expression to an arbitrary constant $c$, we can write: $$log_{b}(m + n) = c$$ and convert it into an exponent as so: $$b^c = m + n$$ Because there is no other step to take after this expression, we can conclude that there is no property for the logarithm of a sum that is applicable for a general form $\log_{b}(m + n)$.
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