3) 6/(x+2) - (x+2)/(x-2) +x²/(x² -4) =0 ;
ОДЗ: x ≠ ± 2.
6(x-2) -(x+2)² +x² =0 ;
6x -12 -(x² +4x+4) +x² =0 ;
2x =16 ;
x =8 .
4) (1/64) ^x = √(1/8) ;
(1/2)^ (6x) = (1/2) ^(3/2) ;
6x =3/2;
x =1/4 . || 0,25||
5) Loq(0,5) (5x-1) = -2 ;
Loq(0,5) (5x-1) = Loq(0,5) (4) ;
5x-1 =4 ;
x=5.
6) Lim(x-->-5) (x² +4x-5)/(x+5) =Lim(x-->-5) (x +5)(x-1)/(x+5) =Lim(x-->-5) (x-1) = -6.