Question

Решите неравенство log2 (3 - x^2) > 1

Answer 1

log₂(3-x²)>1   ОДЗ:  3-х²>0   x²<3  x∈(-√3;√3)
log₂(3-x²)>log₂2
3-x²>2
x²<1
x₁=1   x₂=-1
(x+1)(x-1)<0
-∞______+_____-1_____-______1_____+______+∞
x∈(-1;1).