Answer:
[tex]ln\frac{x^3}{(x-1)^2}[/tex]
Step-by-step explanation:
We have given expression [tex]3lnx-2ln(x-1)[/tex]
According to logarithmic property [tex]3lnx-2ln(x-1)=lnx^3-ln(x-1)^2[/tex]
Now again using logarithmic property when two log function are subtracted with each other then their functions are divide by each other
So [tex]lnx^3-ln(x-1)^2=ln\frac{x^3}{(x-1)^2}[/tex]
So by using logarithmic property and after solving answer will be [tex]ln\frac{x^3}{(x-1)^2}[/tex]
