(-2.5)^2+1.5^2=6.25+2.25=8.5
221 2)
16*(8^(x²-3x-5))^(1/5) =128
(8^(x²-3x-5)^(1/5) =8
8^(x²-3x-5) =8^5
x²-3x-5=5
x²-3x-10=0
D=9+40=49 √D=7
x1=(3+7)/2=5 x2=(3-7)/2=-2
x1=5 x2=-2
221 3)
(5/3)^(x+1) * (9/25)^(x²+2x-11)=(5/3)^9
(3/25)^(2*(x²+2x-11)) =(5/3)^(9-(x+1))
(3/5)^(2x²+4x-22)=(3/5)^((x+1)-9)
2x²+4x-22=x+1-9
2x²+3x-14=0
D=9+112=121 √D=11
x1=(-3+11)/4=2 x2=(-3-11)/4=7/2=3,5
221 4)
3^(x+1) *4^x=(1/4) *3^(3x-1) * 4^(3x-1)
3^(x+1)*4^x=3^(3x-1) *4^(3x-2)
3*12^x =3*12^(3x-2)
12^x=12^(3x-2)
x=3x-2
2x=2
x=1