" 18.If "2^(x-1)+2^(x+1)=320" then "x=

If 2^(x-1)+2^(x+1)=320, then find the value of x.

If y=(x^(2)+x+1)/(x^(2)-x+1)," then "(x^(2)-x+1)^(2)y_(1)=

Let x_(1) , x_(2) , x_(3) be the solution of tan^(-1) ((2x + 1)/(x +1 )) + tan ^(-1) ((2x - 1)/( x -1 )) = 2 tan ^(-1) ( x + 1) " where x_1 2x_(1) + x_(2) + x_(3)^(2) is equal to

Solve for x: (x-1)/(2x+1) +(2x+1)/(x-1)=2," where "x ne -(1)/(2),1

IF 3 sin^(-1)((2x)/(1+x^(2)))-4cos^(-1)((1-x^(2))/(1+x^(2)))+ 2tan^(-1)((2x)/(1-x^(2)))=(pi)/3 then x=

If x_(1)=2tan^(-1)((1+x)/(1-x)), x_(2)=sin^(-1)((1-x^(2))/(1+x^(2)))," where "x in (0, 1)," then "x_(1)+x_(2) is equal to