Solving for xx is that much tough!!

Algebra Level 5

Find the largest value of xx such that: x(9x233x23)=32x23+13x23+1+6x18\large \sqrt{x}\left(9^{\sqrt{x^{2}-3}}-3^{\sqrt{x^{2}-3}}\right)=3^{2 \sqrt{x^{2}-3}+1}-3^{\sqrt{x^{2}-3}+1} +6 \sqrt{x}-18

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