If `log_(a^q) (n^p)=p/q log_a n ` where `a;ngt0 ; a!=1`

If log_(p)q+log_(q)r+log_(r)p vanishes where p,q and r are positive reals different than unity then the value ol (log_(p)q)^(3)+(log q_(r))^(3)+(log r_(p))^(3) is a) an odd prime b)an even prime c)an odd coposite d) an irrational number

If log_p(q)+log_q(r)+log_r(p) vanishes where p,q,r are positive reals different than unity then the value of (log_p(q))^3+(log_q(r))^3+(log_r(p))^3

If log_(5)p = a and log_(2)q=a , then prove that (p^(4)q^(4))/(100) = 100^(2a-1)

If log_(10) a= p and log_(10) b = q, then what is log_(10) (a^(p)b^(q)) equal to ?

If log_5p=a and log_2q=a , then prove that (p^4q^4)/(100)=100^(2a-1)

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

If log_(p)x=alpha andlog _(q)x=beta, then the value of log_((p)/(q))x is

If log_(l)p, log_(m)p and log_(n)p are in AP, then (ln)^(log_(l)m) = ______.

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