(6ˣ-1)(36-6ˣ)>0
1.
(6ˣ-1)>0 6ˣ >1 6ˣ >6⁰ x>0
(36-6ˣ)>0 36>6ˣ 6²> 6ˣ x<2<br>\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
_____0_________2___________
////////////////////////////////////////// x∈(0 ;2)
2.
(6ˣ-1) <0 6ˣ <1 6ˣ <6⁰ x<0<br>(36-6ˣ) <0 36<6ˣ 6²< 6ˣ x>2
\\\\\\\\\\\\\\ ////////////////////
_______0_________2__________ x∈∅
Ответ : x∈(0 ;2)