Evaluate: `int(log(logx)/x\ dx`

Explanation

To evaluate the integral \( I = \int \frac{\log(\log x)}{x} \, dx \), we can follow these steps:

### Step 1: Substitution
Let \( t = \log x \). Then, we differentiate both sides to find \( dx \):
\[ dt = \frac{1}{x} \, dx \quad \Rightarrow \quad dx = x \, dt = e^t \, dt \]
Thus, we can rewrite the integral in terms of \( t \):
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