If `(x+4):(x+6)=(x-2):(x+3)` then find the value of x.

If (6x)^(6)=6^(2^(3)) , then find the value of x.

If f(x)=x^3+2x then find the value of f(4)

If (i) 4x+5y=83 and (3x)/(2y)=(21)/(22), then what is the value of y-x? (ii) (x)/(4)-(x-3)/(6)=1 then find the value of x.

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

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

If x +2 is a factor of f( x) and f(x) =x^(3)+4x^(2)+kx-6 , then find the value of k .

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

If |6x-4|=5 , find the value of x.