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

If 3^(2x+1)*4^(x-1)=36 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) = x^2 - 3x + 4 , then find the values of x satisfying the equation f(x) = f(2x + 1) .

If abx^(2)=(a-b)^(2)(x+1) , then find the value of 1+(4)/(x)+(4)/(x^(2)) in terms of a and b.

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 f'(x) = 1/x + x^2 and f(1)=4/3 then find the value of f(x)

If |[x+2, 3],[x+5, 4]|=3 , find the value of x

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

If x=1/2(5-3i) , then find the value of x^4-x^3-12x^2+23x+12

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