Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 9 - Section 9.4 - Properties of Logarithms - Exercise Set - Page 713: 90


a) $4$ b) $\log_2(\dfrac{xy^5}{16})$

Work Step by Step

a) Since, $\log_2 {16}=\log _2(2)^4=4$ b) From part (a), we have $\log_2 x+5\log_2 y-4=\log_2x+5\log_2 y-\log_2 {16}$ or, $\log_2 x+5\log_2 y-4=\log_2x+\log_2 y^5-\log_2 {16}$ or, $\log_2 x+5\log_2 y-4=\log_2(x y^5)-\log_2 {16}$ or, $\log_2 x+5\log_2 y-4=\log_2(\dfrac{xy^5}{16})$ Hence, a) $4$ b) $\log_2(\dfrac{xy^5}{16})$
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