If `p , q in N` satisfy the equation `x^sqrt(x)=(sqrt(x))^x,` then `pa n dq` 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

`x^sqrtx=sqrtx^x`

taking log both side

`sqrtxlogx=xlogsqrtx`

`sqrtxlogx=x/2logx`

`sqrtxlogx-x/2logx=0`

`logx[sqrtx-x/2]=0`

either log x=0

`x=1`

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