I can give you the code because i also face that problem and solve it using session.You need to clear the session of browser when you log out from your page.
After successfull login in page load event add these lines..
Response.ClearHeaders();
Response.AddHeader("Cache-Control", "no-cache, no-store, max-age=0, must-revalidate");
Response.AddHeader("Pragma", "no-cache");
and then in log out button code write..
Response.Redirect("Login.aspx");
Session.Abandon();
Session.Clear();