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

If cos (2 sin^(-1) x) = (1)/(9) , then find the value of x

If (x^2+x−2)/(x+3) 1) f(x) then find the value of lim_(x->1) f(x)

If f(x)=2x-x^(2) then find the value of f(1)=____.

If x^(2) + (1)/(x^(2)) = 23 , then find the value of x + (1)/( x) and x^(3) + (1)/( x^(3))

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 |1xx^2xx^2 1x^2 1x|=, then find the value of |x^3-1 0x-x^4 0x-x^4x^3-1x-x^4x^3-1 0|

If sin^(-1)((1)/(2))=tan^(-1)x, then find the value of x.

If (2.3)^x = (0.23)^y = 1000 , then find the value of 1/x- 1/y