find the value of `x` : `1/(x+p+q)=1/x+1/p+1/q`

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

If p^(3)-q^(3)=(p-q)((p-q)^(2)-xpq), then find the value of x is (a) 1 (b) -3(c)3(d)-1

If p and q are the roots of the equations x^(2) - 3x+ 2 = 0 , find the value of (1)/(p) - (1)/(q)

If p inR and q = log_(x) (p+sqrt(p^(2)+1)) , then find the value of p in terms of x and q.

If p and q are the roots of the equation x^(2)-3x+2=0 , find the value of (1)/(q)-(1)/(q) .

Find the value of x such that P Q=Q R where the coordinates of P ,\ Q and R are (6,\ -1) , (1,\ 3) and (x ,\ 8) respectively.

Find the values of P, Q and X in the following equation: ""_(7)N^(14) + ""_(2)He^(4) to ""_(P)X^(Q) + ""_(1)H^(1) .