If `(1)/(512)^(2x+2)=2^18`, then find the value of x.

If 2^(x-1)+2^(x+1)=1280, then find the value of x.

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

If x^(2)+(1)/(x^(2))=18 then find the value of x^(3)-(1)/(x^(3))

If 1:3 :: x: 18 then find the value of x.

If (x + frac(1)(x))= 2 , then find the value of (x^3 +frac(1)(x^3))/(x^18 +frac(1)(x^18)

If 2 ^(x +1) + 2 ^( x-1)= 80, then find the value of x.

If (x^(+(1)/(2)) + x^(-(1)/(2)))^(2) = (9)/(2) , then find the value of (x^((1)/(2))-x^(-(1)/(2))) for x gt 1 .

If 3x-2y=24 and 2x-3y=18, then find the value of x+y.