Thereupon the city council shall cause notice of the time and place of such hearing to be published for two days in a daily newspaper published and circulated in the city, or by one insertion in a weekly newspaper so published and circulated. If no daily or weekly newspaper is published and circulated in the city, then the notice shall be posted for two days on or near the council chamber door, and in two other public places in the city. Such publication or posting shall be completed at least five days before the hearing.