Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Section 4.4 - Laws of Logarithms - 4.4 exercises - Page 359: 31


$\log_2 A$ + 2$\log_2 B$

Work Step by Step

$Expand$ $the$ $expression$: $\log_2 (AB^2)$ Apply the First Law of Logarithms $\log_2 (A\times B^2)$ = $\log_2 A$ + $\log_2 B^2$ Apply the Third Law of Logarithms to $\log_2 B^2$ $\log_2 B^2$ = 2$\log_2 B$ $\log_2 A$ + $\log_2 B^2$ = $\log_2 A$ + 2$\log_2 B$
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