Log7(x^2-4)>log7(3x+6)

Question

Log7(x^2-4)>log7(3x+6)

Answer 1

ОДЗ
x²-4>0⇒x<-2 U x>2
3x+6>0⇒x>-2
x∈(2;∞)
x²-4>3x+6
x²-3x-10>0
x1+x2=3 U x1*x2=-10
x1=-2 U x2=5
x<-2 U x>5
Ответ x∈(5;∞)