Find the differential coefficient of log `x^(x)` with respect to 'x'.

Explanation

To find the differential coefficient of \( \log(x^x) \) with respect to \( x \), we can follow these steps:

### Step 1: Rewrite the function
We start by rewriting the function using the properties of logarithms. The property states that \( \log(a^b) = b \cdot \log(a) \).

Let:
\[
y = \log(x^x)
...