Log_6(x-1)-log_6(2x-11)=log_6 2

Question

Log_6(x-1)-log_6(2x-11)=log_6 2

Answer 1

<=>log_6((x-1)/(2x-11))=log_6 2
<=>(x-1)/(2x-11)=2
<=>x-1=4x-22
<=>3x-21=0
<=>x=7