Log₂(x+4)+2log₂(1/2 -x)=0;
x+4>0⇒x>-4;
1/2-x>0;⇒x<1/2<br>-4log₂(x+4)+log₂(1/2 -x)²=0;
log₂(x+4)(1/2 -x)² =0;⇒
2⁰=(x+4)(1/2-x)²;⇒(x+4)(1/4-x+x²)=1;
(1/4) x+1-x²-4x+x³+4x²=1;
(-15/4)x+3x²+x³=0;
x(4x²+12x-15)=0;
x₁=0;
4x²+12x-15=0
x₂,₃=[-12⁺₋√(144+240)]/8=[-12⁺₋19.6)/8;
x₂=(-12+19.6)/8=7.6/8=0.95;⇒не подходит; 0,95>1/2;
x₃=(-12-19.6)/8=-31.6/8=-3.95;