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