If `log_p x =alpha` and` log_q x= beta `, then the value of `log_(p/q) x` is

Given that log_(p)x=alpha and log_(q)x=beta, then value of log_((p)/(q))x equals

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

Given that (log)_p x=alpha\ a n d(log)_q x=beta,\ then value of equals- a. (alphabeta)/(beta-alpha) b. (beta-alpha)/(alphabeta) c. (alpha-beta)/(alphabeta) d. (alphabeta)/(alpha-beta)

If log_(q)(xy)=3 and log_(q)(x^(2)y^(3))=4 , find the value of log_(q)x ,

If log_b x=p and log_b y=q, then log_b xy=

If 2 log_(8) N = p , log_(2) 2 N = q , and q - p = 4 , then the value of N is

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