Be it further enacted, that whenever, in the opinion of the mayor, or of any two (2) councilmembers, the welfare of the city demands it, the mayor or any two (2) councilmembers may call special meetings upon not less than twenty four (24) hours written notice to each councilmember, served personally, left at his usual place of residence, or noticed by electronic means. Each call for a special meeting shall set forth the character of the business to be discussed at such meeting and no other business shall be considered at such meeting. The mayor or city manager shall cause at least one (1) announcement of any such specially called meeting to be broadcast over a local radio station during such twenty-four (24) hour period and posted on the city's web site. (As amended by Priv. Acts of 1965, ch. 259, sec. 7; Priv. Acts 1972, ch. 416, sec. 3; Priv. Acts 1995, ch. 55, sec. 3; and Priv. Acts 2014, ch. 55, sec. 1)