`4^(x-1) =3^x` then find the value of x

if 3^(x)=4^(x-1) then find the value of x

If 3x - (1)/(2x) = 3 , then find the value of (36x^(4) + 1)/(4x^(2)) .

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

If (x^(2)-1)/(x)=4 then find the value of (x^(6)-1)/(x^(3))

If x^4 + (1)/(x^4) =727 , then find the value of x^3 - (1)/(x^3)

if x^(4)+(1)/(x^(4))=322 then find the value of x^(3)-(1)/(x^(3))

If tan ^(-1)x=(3)/(4), then find the value of cos^(-1)x

If x+(1)/(x) =4 then find the value of x^(3)+(1)/(x^(3)) .

If cot^(-1)((4)/(3))=x then find the value of cos2x