1) log0.25 (x^2-3x) = - 1

2) Log0.5 (3x+0,5) + log0.5 (x-2) = - 2

1

x²-3x>0

x (x-3) >0

x=0 x=3

x∈ (-∞; 0) U (3; ∞)

x²-3x=4

x²-3x-4=0

x1+x2=3 U x1*x2=-4

x1=-1 U x2=4

2

{3x+0,5>0⇒3x>-1/2⇒x>-1/6

{x-2>0⇒x>2

x∈ (2; ∞)

log (0,5) [ (3x+0,5) (x-2) ]=-2

3x²-6x+0,5x-1=4

3x²-5,5x-5=0

D=30,25+60=90,25

√D=9,5

x1 = (5,5-9,5) / 6=-2/3 не удов усл

x2 = (5,5+9,5) / 6=2,5