Variable Base Logarithm

Algebra Level 2

$\log _{ 3x+5 }{ \big(9{ x }^{ 2 }+8x+8\big) } >2$

Solve the inequality above for $x$ .

x\in \left(\frac { 4 }{ 3 } ,\frac { 17 }{ 22 } \right )

x\in \left(\frac { 4 }{ 3 } ,-\frac { 17 }{ 22 } \right )

x\in \left(-\frac { 4 }{ 3 } ,\frac { 17 }{ 22 } \right )

x\in \left(-\frac { 4 }{ 3 } ,-\frac { 17 }{ 22 } \right )