Find costant that satisfies the variance

#1
Hi,

I have this regression model :
[math]Y_i=B_1+B_2logx_i+2e_i[/math]

[math]e_i[/math]~N(0,σ2)

I am asked to find the constant :


Y∗=y c that satisfies V(Y∗)=σ^2


I have some doubts ... I would say that the constant is equal to 1/2 ?