What is the solution of : log(3x+5) (9x*x + 8*x +2) > 2?

We have to solve: log(3x + 5) (9x*x + 8*x +2) >
2

log(3x + 5) (9x*x + 8*x +2) >
2

=> 9x*x + 8*x +2 > (3x +
5)^2

=> 9x^2 + 8x + 2 > 9x^2 + 30x +
25

=> 8x - 30x > 25 -
2

=> -22x >
23

=> x <
-23/22

But the base of the logarithm has to be greater than
0

=> 3x + 5 >
0

=> x >
-5/3

The solution of the inequality is -5/3
< x < -23/22