Answer
$3\log_3x+\frac{1}{4}\log_3y-4\log_3z=\log_3\frac{x^3\sqrt[4] y}{z^4}$
Work Step by Step
$3\log_3x+\frac{1}{4}\log_3y-4\log_3z=\log_3x^3+\log_3y^{\frac{1}{4}}-\log_3z^4=\log_3\frac{x^3y^{\frac{1}{4}}}{z^4}=\log_3\frac{x^3\sqrt[4] y}{z^4}$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 5 - 5.3 - Properties of Logarithms - 5.3 Exercises - Page 386: 70
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