Differentiate `(logx)^x` with respect to `logx` .

Explanation

To differentiate the function \( ( \log x )^x \) with respect to \( \log x \), we can follow these steps:

### Step 1: Define the function
Let \( u = (\log x)^x \).

### Step 2: Take the logarithm of both sides
Taking the natural logarithm of both sides gives:
\[
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