If `(2x-1)/3=(x-2)/3+1`, Then x=?

If (x^2-1)^(3)-(2x-1)^(3)=x^(3)(x-2)^3 then sum of all roots of the equation is

If 4^(x)+2^(2x-1)=3^(x+(1)/(2))+3^(x-(1)/(2)), then x=..

IF 2x ^(1//3)+2x ^(-1//3) =5 then x=

solve for x (2x-5)/(3x-1)=(2x-1)/(3x+2)

If f(x)={{:(,(x^(2))/(2),0 le x lt 1),(,2x^(2)-3x+(3)/(2),1 le x le 2):} then,

Simplify and find the value of x: 1/((x-1)(x-2))+1/((x-2)(x-3))=2/3, x!= 1,2,3

If l=int((2x-3)^(1/2))/((2x-3)^(1/3)+1)dx=3[(1)/(7)(2x-3)^(7/6)-(1)/(5)(2x-3)^(5/6)+(1)/(3)(2x-3)^(1/2)-(2x-3)^(1/6)+g(x)]+c then g(x) is equal to