Solve` 3^((log_(9)x)^(2)-9/2log_(9)x+5)= 3 sqrt3.`

Explanation

To solve the equation \( 3^{(\log_{9} x)^{2} - \frac{9}{2} \log_{9} x + 5} = 3 \sqrt{3} \), we can follow these steps:

### Step 1: Rewrite the right side
We can express \( 3 \sqrt{3} \) in terms of powers of 3:
\[ 3 \sqrt{3} = 3^{1 + \frac{1}{2}} = 3^{\frac{3}{2}} \]
Thus, the equation becomes:
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