College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 6 - Section 6.5 - Properties of Logarithms - 6.5 Assess Your Understanding: 68

Answer

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

Work Step by Step

We use the rules of logarithms to obtain: $\dfrac {1}{3}\log \left( x^{3}+1\right) +\dfrac {1}{2}\log \left( x^{2}+1\right) =\log (\left( x^{3}+1\right) ^{\dfrac {1}{3}}\times \left( x^{2}+1\right) ^{\dfrac {1}{2}})$
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