If `p , q in N` satisfy the equation `x^sqrt(x)=(sqrt(x))^x,` then `p a n d q` are (a)relatively prime (b) twin prime (c) coprime (d)if `(log)_q p` is defined, then `(log)_p q` is not and vice versa

Explanation

To solve the equation \( x^{\sqrt{x}} = (\sqrt{x})^x \) and determine the values of \( p \) and \( q \) that satisfy this equation, we can follow these steps:

### Step 1: Take the logarithm of both sides
We start by taking the logarithm of both sides of the equation:

\[ \log(x^{\sqrt{x}}) = \log((\sqrt{x})^x) \]
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