# Chapter 6 - Inverse Functions - 6.3 Logarithmic Functions - 6.3 Exercises - Page 426: 13

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

#### 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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