Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 4 - Review - Exercises - Page 389: 52

Answer

$$\log (x^3y^4)$$

Work Step by Step

$Combine$ $into$ $a$ $single$ $logarithm:$ $\log x + \log (x^2y) + 3\log y$ Use the Third Law of Logarithms for $3\log y$ $3\log y = \log y^3$ $\log x + \log (x^2y) + \log y^3$ Use the First Law of Logarithms $\log x + \log (x^2y) + \log y^3$ = $\log (x\times x^2y\times y^3)$ $$\log (x^3y^4)$$
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