3 ^ (2 ^ x) = 2 ^ (3 ^ x)

asked by guest
on Feb 13, 2025 at 8:17 pm



You asked:

Solve the equation \({3}^{{2}^{x}} = {2}^{{3}^{x}}\) for the variable \(x\).

MathBot Answer:

The solution is: \[x = \frac{- \log{\left(\log{\left(3 \right)} \right)} + \log{\left(\log{\left(2 \right)} \right)}}{- \log{\left(3 \right)} + \log{\left(2 \right)}} \approx 1.1358826\]

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