Is there a way to get the result for this value of x?

```
x ^ x ^ (x ^ (1/6) / 6) == Sqrt[2^9]^ (2 * Sqrt[2]) ^ (2/3 + 2 * Sqrt[2])
```

I have tried `Solve`

, `FindInstance`

and I did not have a solution

I have tried this:

```
Solve[X^x^(x^(1/6)/6)==Sqrt[X^x^(x^(1/6)/6)==Sqrt[x^x^(x^(1/6)/6)==Sqrt[x^x^(x^(1/6)/6)==Sqrt[2^9]^ (2 * Sqrt[2]) ^ (2/3 + 2 * Sqrt[2]) {X}]
```