2^(x²-1)+2^(x²+2)=3^(x²-1)+3^(x²)
2^(x²-1)*(1+8)=3^(x²-1)*(1+3)
2^(x²-1)*9=3^(x²-1)*4
2^(x²-1)/3^(x²-1)=4/9
(2/3)^(x²-1)=(2/3)²
x²-1=2
x²=3
x=-√3
x=√3
3^(x-3)=a
54/a-2a>0
(54-2a²)/a>0
54-2a²=0⇒2a²=54⇒a²=27⇒a=-3√3 U a=3√3
a=0
_ + _ +
------------(-3√3)----------(0)-------------(3√3)----------------
-3√3a>3√3⇒3^(x-3)>3√3⇒x-3>1,5⇒x>4,5
x∈(4,5;∞)