if p= `log_(6)216 and q = log_(3) 27 ` then `p^(q)`= ______

If log_(p)pq = x , then log_(q) pq = ______.

If log_(p)q = x , then log_(1//p)((1)/(q)) = ______.

If p = log_(2a), a, q = log_(3a) 2a and r = log_(4a), 3a , then find the value of qr(2-p).

If log_(4).(x^(4))/(4)+3log_(4) 4x^(4) = p + q log_(4) x , then the value of log_(p)(q) is ______.

If p = log_(a) bc, q = log_(b) ca and r = log_(c ) ab , then which of the following is true ?

If log_(8)p=25backslash and log_(2)q=5, then a.p=q^(15) b.p^(2)=q^(3) c.p=q^(5) d.p^(3)=q

If log_(a)x = p and log_(b)x^(2) =q, then log_(x)sqrt(ab) is equal to (where, a,b, x in R^(+)-{1})- A) 1/p+1/q , B) 1/(2p)+1/q , C) 1/p+1/(2q) , D) 1/(2p)+1/(2q)