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: 33

Answer

$\log_3{2} + \log_3{x} - \log_3{y}$

Work Step by Step

RECALL: (1) $\log_b{(PQ)} = \log_b{P} + \log_b{Q}$ (2) $\log_b{(\frac{P}{Q})} = \log_b{P} - \log_b{Q}$ Use rule (2) above to obtain: $=\log_3{2x} - \log_3{y}$ Use rule (1) above to obtain: $=\log_3{2} + \log_3{x} - \log_3{y}$
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