(3+Log_12 27 )/ (3 - Log_12 27) *Log_6 16 =
(3+Log_12 3³ )/ (3 - Log_12 3³) *Log_6 16
(3+3Log_12 3)/(3 -3Log_12 3) *Log_6 16=
(1 +Log_12 3)/(1 -Log_12 3)*Log_6 16=
(Log_12 12 +Log_12 3)/(Log_12 -Log_12 3)*Log_6 16=
(Log_12 36)/ (Log_12 4)* Log_6 16 =(Log_12 6²)/(Log_12 2²)* Log_6 2⁴
=2*(Log_12 6)/2*(Log_12 2) * 4Log_6 2=(Log_2 6) *4(Log_6 2) =4.