Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 6 - Inverse Functions - 6.3 Logarithmic Functions - 6.3 Exercises: 11

Answer

ln$(\frac{x^{2}}{y^{3}z^{4}})=2lnx-3lny-4lnz$

Work Step by Step

Consider the quantity ln$(\frac{x^{2}}{y^{3}z^{4}})$ as follows: 1. Using logarithmic property ln$(\frac{p}{q}) = lnp-lnq$, we get ln$(\frac{x^{2}}{y^{3}z^{4}})=ln(x^{2})-ln({y^{3}z^{4}})$ 2. Use logarithmic property $ln(p)^{m}= m lnp$. Hence, ln$(\frac{x^{2}}{y^{3}z^{4}})=2lnx-3lny-4lnz$
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