College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 4, Exponential and Logarithmic Functions - Section 4.4 - Laws of Logarithms - 4.4 Exercises: 34

Answer

$\ln{r} -\ln{3} - \ln{s}$

Work Step by Step

RECALL: (1) $\ln{(PQ)} = \ln{P} + \ln{Q}$ (2) $\ln{(\frac{P}{Q})} = \ln{P} - \ln{Q}$ Use rule (2) above to obtain: $=\ln{r} - \ln{3s}$ Use rule (1) above to obtain: $=\ln{r} -(\ln{3} + \ln{s})$ Subtract each term of the binomial to obtain: $=\ln{r} -\ln{3} - \ln{s}$
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