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: 51


$\log (\frac{x^2}{(x+1)^3})$

Work Step by Step

$Combine$ $the$ $expression$: $2$$\log x$ - $3$$\log (x+1)$ Apply the Third Law of Logarithms for $2$$\log x$ and $3$$\log (x+1)$ $2$$\log x$ = $\log x^2$ $3$$\log (x+1)$ = $\log (x+1)^3$ $\log x^2$ - $\log (x+1)^3$ Apply the Second Law of logarithms $\log x^2$ - $\log (x+1)^3$ = $\log (\frac{x^2}{(x+1)^3})$
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