Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 4 - Review - Exercises: 45

Answer

$\log A + 2\log B + 3\log C$

Work Step by Step

$Expand$ $the$ $logarithmic$ $expression:$ $\log (AB^2C^3)$ Use the First Law of Logarithms $\log(A\times B^2\times C^3) = \log A + \log B^2 + \log C^3$ Use the Third Law of Logarithms for $\log B^2$ and $\log C^3$ $$\log B^2 = 2\log B$$ $$\log C^3 = 3\log C$$ $$\log A + 2\log B + 3\log C$$
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