[tex]\log _cab=\log _ca+\log _cb[/tex][tex]\ln (xy)+\ln (4z)=\ln (4xyz)[/tex][tex]=\ln (xy4z)+\ln (3x^2)[/tex][tex]\text{Applying log rule}\colon[/tex][tex]\log _cab=\log _ca+\log _cb[/tex][tex]\ln (4xyz)+ln(3x^2)=\ln (4\cdot3x^2xyz\text{)}=\ln (4\cdot3x^2xyz)[/tex][tex]-->[/tex][tex]\text{Simplify xy}\cdot4z\cdot3x^2\colon12x^3yz[/tex][tex]ANSWER-->ln(12x^3yz\text{)}[/tex]
