You can put this solution on YOUR website! ln(6x-1)= ln3-ln(x-3)
ln(6x-1)- ln3+ln(x-3)=0
place under single log
ln[(6x-1)(x-3)/3)]=0
convert to exponential form
e^0=(6x-1)(x-3)/3)=1
(6x-1)(x-3)=3
6x^2-19x+3=3
6x^2-19x=0
x(6x-19)=0
x=0 (reject, (6x-1)>0)
or
6x-19=0
x=19/6