Question 379549
2^(x^2+3x)=1/4
2^(x^2+3x)=1/2^2
2^(x^2+3x)=2^-2
..
x^2+3x=-2
x^2+3x+2=0
x^2+2x+x+2=0
x(x+2)+1(x+2)=0
(x+2)(x+1)=0
x=-1 OR x=-2