Before said sale, and to determine the value of said property, the district judge of the district court of said county, upon application in writing of the board of county commissioners, shall appoint three appraisers who, before entering upon the discharge of their duties and within five days after notice of their appointment, shall take an oath in substance as follows: That they will support the constitution of the state of Kansas and faithfully discharge their duties as appraisers of the old jail or jailer’s residence of __________ county, Kansas; that immediately upon taking said oath said appraisers shall view said property and appraise the same and file their report with the clerk of the district court; and on the filing of said report the clerk of said court shall give thirty (30) days’ notice in the official paper of said county, which notice shall state the day and hour when said report of said commissioners shall come on for hearing before said court for confirmation; that if twenty-five (25) or more resident taxpayers shall, within twenty (20) days after the return of the appraisement hereinbefore provided for, have filed their objections thereto in writing attacking the correctness of said appraisement, stating wherein the same is incorrect, duly verified by one or more of such taxpayers, it shall be the duty of the court to pass upon such objections, and for that purpose the court may hear testimony for or against said confirmation, and upon a full hearing shall approve said appraisement if the same is fair and just; and if in the judgment of the said court said appraisement is unfair, then said court shall make a finding as to the actual value of said property, which finding shall be conclusive. Said hearing may be held at chambers.