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
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