Solve for `x:2^(x+2) gt (1/4)^(1/x)`

Explanation

To solve the inequality \( 2^{x+2} > \left( \frac{1}{4} \right)^{\frac{1}{x}} \), we can follow these steps:

### Step 1: Rewrite the inequality
We start with the given inequality:
\[ 2^{x+2} > \left( \frac{1}{4} \right)^{\frac{1}{x}} \]
We know that \( \frac{1}{4} = 2^{-2} \), so we can rewrite the right side:
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