If `p >1` and `q >1` are such that `log(p+q)=logp+logq ,`then the value of `log(p-1)+log(q-1)` is equal to (a) 0 (b) 1 (c) 2 (d) none of these

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

If x^py^q=(x+y)^(p+q) then the value of (d^(2)y)/(dx^(2)) is (where p,q in N ) (A) 0 (B) -1 (C) 1(D) None of these

If pqr = 1 then find the value of log_(rq)p+log_(rp)q+log_(pq)r .

If p and q are positive numbers other than 1, then the least value of |log_(q)p+log_(p)q| is ______.

If a, b, c be the pth, qth and rth terms of a G.P., then (q-r) log a+ (r- p)log b+ (p-q) log c is equal to (A) 0 (B) abc (C) ap+bq+cr (D) none of these

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

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