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: 41

Answer

$\frac{1}{2}$$\ln (x^4+2)$

Work Step by Step

$Expand$ $the$ $expression$: $\ln \sqrt {x^4 + 2}$ Rewrite the square root $\ln (x^4+2)^\frac{1}{2}$ Apply the Third Law of Logarithms $\ln (x^4+2)^\frac{1}{2}$ = $\frac{1}{2}$$\ln (x^4+2)$ There are no Laws of Logarithms for adding/subtracting so we leave it as the answer $\frac{1}{2}$$\ln (x^4+2)$
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