Season 2

With the open ending of Oda Nobuna no Yabou, these is a hint at a second season but the chances are based on the progression of the light novel as that is the important part (being the basis), and its sales. The chances of the series acquiring its second season aren't particularly high but they aren't low either. Log Horizon sold an average of 4,023 sales in Japan during its release season and grossed ¥244.9 million (yen), it got a second season. Oda Nobuna no Yabou sold an average of 4,886 copies in its release season and grossed ¥200.6 million (yen).

Source: http://www.someanithing.com/series-data-quick-view