If `((a)/(b))^(x-1)=((b)/(a))^(x-3)` ,then "x" is equal to:

if a,b,c are in G.P. and (a^(x+1))/(c^(x-1))=b^(2x) then x is equal to

If (2x+1)/((x+1)(x+2))=A/(x+1)+B/(x+2) then (A,B) is equal to

If x^(3)=a+1 and x+(b)/(x)=a, then x equals to

Let A is number of value of 'x' satisfying equation |x-3|=2x-5 and B is the value of 'x' satisfying the equation |log_((1)/(3))2|=log_((1)/(3))x, then A+B is equal to

lim_(x to oo) ((x+a)/(x+b))^(x+b) is equal to

if (a+ib^((1)/(3))=x+iy then (a)/(x)+(b)/(y) is equal to