Question

log6(3x-6)=log6(2x-3)

Answer 1

$log_6(3x-6)=log_6(2x-3)\left {{{3x-6>0}atop{2x-3>0}}right.\\left {{x>2}atop{x>1,5}}right.\\xin(2;+infty)\\3x-6=2x-3\3x-2x=6-3\x=3 in(2;+infty)\\x=3$