Question

4= 2/1+e^-2x

Answer 1

4 = 2/(1 + e^(-2x))


4(1 + e^(-2x)) = 2


4 + 4e^(-2x) = 2


4e^(-2x) = 2-4


4e^(-2x) = -2


e^(-2x) = -2/4


e^(-2x) = -1/2


ln(e^(-2x)) = ln(-1/2)


Since taking the natural log of a negative number results in a complex number, this means that there are no real solutions.