1. a) [tex] \frac{ 3^{3( \frac{-1}{4} ) * 3^{2*1,5} } }{ 3^{ \frac{1}{8} 2} } = 3°=1;
2. a) sinα/sinα = 1;
3. a) [tex] 5^{-(3-2x)} = 5^{3} ; - 3 + 2x =3; 2x =6; x=3;
б) y² - 1 =8; y² =9; y = +-3; отв: х =3;
b) x - 2 =4; x =6;
4. [tex] 5^{x} =a; a² +4a - 5 =0; a = -5; a =1; [tex] 5^{x} = -5; x=∅;
[tex] 5^{x} =1; x=0; отв: (∞; -5)∪(1; +∞;)
5. 3x+1 = (x-3)²; 3x + 1 = x² - 6x +9; x² - 9x - 8 =0; x =8; x =1;