Answer
$2lnx+3lny-lnz=ln\frac{x^{2}y^{3}}{z}$
Work Step by Step
Use logarithmic properties $ln(pq) = lnp+lnq$ and $ln(p)^{m}= m lnp$
$2lnx+3lny-lnz=lnx^{2}+lny^{3}-lnz$
This implies
Hence, $2lnx+3lny-lnz=ln\frac{x^{2}y^{3}}{z}$
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