1) 2^(5x-x^2)=16 <=> 2^(5x-x^2)=2^4 <=> 5x-x^2=4 <=> x^2-5x+4=0 D=25-16=9=3^2. x1=(5+3)/2=4. x2=(5-3)/2=1.
2} (0,04)^х=25/корень из 5 <=> (1/25)^x=5^2/5^1/2 <=> 5^(-2x)=5^(2-1/2) <=> -2x=2-1/2 <=> -2x=3/2 <=> x=-3/4.
3) 4^(x+2)=2 <=> 2^2(x+2)=2^1 <=> 2(x+2)=1 <=> 2x+4=1 <=> 2x=-3 <=> x=-3/2.
4) (125/27)^(x-1)=9/25 <=> (5/3)^3(x-1)=(3/5)^2 <=> (5/3)^3(x-1)=(5/3)^(-2) <=> 3(x-1)=-2 <=> 3x-3=-2 <=> 3x=1 <=> x=1/3.
5) (9/25)^(x+0,5)=125/27 <=> (3/5)^2(x+0,5)=(5/3)^3 <=> (3/5)^2(x+0,5)=(3/5)^-3 <=> 2(x+0,5)=-3 <=> 2x+1=-3 <=> 2x=-4 <=> x=-2.
6) 2^(x^2-5х-1,5)=16коренейиз2 <=> 2^(x^2-5х-1,5)=(2^4)*(2^1/2) <=> 2^(x^2-5х-1,5)=2^(4+1/2) <=> x^2-5х-1,5=4,5
Остальные попозже сделаю.