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: 31

Answer

$\log_2{A} + 2\log_2{B}$

Work Step by Step

RECALL: $\log_b{(PQ)} = \log_b{P} + \log_b{Q}$ Use the rule above to obtain: $=\log_2{A} + \log_a{(B^2)}$ Write $B^2$ as $B\cdot B$ to obtain: $=\log_2{A} + \log_2{(B\cdot B)}$ Use the rule above to obtain: $=\log_2{A} + \log_2{B} + \log_2{B}$
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