" Q.1If "x=log p" and "y=(1)/(p)," then "

If x=(p+q)/(p-q) and y=(p-q)/(p+q) then the value of (x-y)/(x+y) is

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)

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)

If f(x)=P log |x|+q x^(2)+x has extrema at x=1 and a =-(4)/(3) , then (p , q)-=…

The numbers 1/3, 1/3 log _(x) y, 1/3 log _(y) z, 1/7 log _(x) x are in H.P. If y= x ^® and z =x ^(s ), then 4 (r +s)=

The numbers 1/3, 1/3 log _(x) y, 1/3 log _(y) z, 1/7 log _(x) x are in H.P. If y= x ^® and z =x ^(s ), then 4 (r +s)=

Let x and y be the positive real numbers such that log_x y=-(1)/(4) , then value of the expression log_x(xy^5)-log_y""((x^(2))/(sqrt(y))) is (p)/(q) then q is _____________. { where p , q in N and are coprime to each other }

Let x and y be the positive real numbers such that log_x y=-(1)/(4) , then value of the expression log_x(xy^5)-log_y""((x^(2))/(sqrt(y))) is (p)/(q) then q is _____________. { where p , q in N and are coprime to each other }

If p = log 20 and q = log 25, find the value of x, if 2 log(x + 1) = 2p - q.