X2log2(0,3)-2log2(0,09)>0 X2log0,3(2)-2log0,3(4)>0

Question

X2log2(0,3)-2log2(0,09)>0
X2log0,3(2)-2log0,3(4)>0

Answer 1

1
x²*log(2)0,3-4log(2)0,3>0
log(2)0,3*(x²-4)>0
log(2)0,3<0⇒(x-2)(x+2)<0<br>x=2  x=-2
x∈(-2;2)
2
log(0,3)2*(x²-4)>0
log(0,3)2<0⇒(x-2)(x+2)<0<br>x=2  x=-2
x∈(-2;2)