Answer
$3\log x+4\log y-6\log z$
Work Step by Step
$\log(\frac{x^{3}y^{4}}{z^{6}})=\log(x^{3}y^{4})-\log z^{6}=\log x^3+\log y^4-\log z^6=3\log x+4\log y-6\log z$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 4, Exponential and Logarithmic Functions - Section 4.4 - Laws of Logarithms - 4.4 Exercises - Page 395: 39
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