`4^(x-1)=2^(x-5)` Find the value of x.

If 5^(x +1) = 25^(x-2) , find the value of 3^(x-3) xx 2^(3-x) .

If x+1/x=sqrt(5) , find the values of x^2+1/(x^2) and x^4+1/(x^4)

If x=(4/5)^(-2)-:(1/4)^2, find the value of x^(-1)dot

If x=-5+2sqrt(-4) , find the value of x^4+9x^3+35 x^2-x+4.

If x=-5+2sqrt(-4) , find the value of x^4+9x^3+35 x^2-x+4.

If x=-5+2sqrt(-4) , find the value of x^4+9x^3+35 x^2-x+4.

If x- (1)/ (x ) = 4 , find the value of : x^(2) + (1)/( x^(2))

If f(x) = (x - 1)(x - 2)(x - 3)(x - 4)(x - 5) , then the value of f' (5) is equal to

If alpha and beta are the zeros of the quadratic polynomial p(x)=4x^2-5x-1 , find the value of alpha^2beta+alphabeta^2 .

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