1.
а) 0; -2; -1; пустое множество; 3; -1;
b) log(3)(6 * 3/2) = log(3)9 = 2;
log(5)(75/5) = log(5)25 = 2;
log(2)32 = 5; log(2)4 = 2; 5/2 = 2.5
2. log(2)x = log(2)3^2 + log(2)9^1/2 - log(2)6 = log(2)(9 * 3) - log(2)6 = log(2)(27/6)
x = 2^log(2)(4.5), x =4.5
3.
a) x-3 > 0, x > 3; ( 3; ∞ )
b) 81 - x^2 > 0; x < 9, x > -9 (-9 ; 9)
c) x^3-x^2 > 0; x^2(x-1) > 0; x > 0, x > 1, (1 ; ∞ )