Attendance at the Fireman's Ball has been declining. Each Year, the number attending is 2/3 of the previous year's attendance.

Question

Attendance at the Fireman's Ball has been declining. Each Year, the number attending is 2/3 of the previous year's attendance.
  In what year will the attendance be less than 1/3 the original attendance?

bobpursley · Answer

(2/3)^N = 1/3 I recommend use logs Nlog2-Nlog3=log1-log3 N(log2-log3)=0-log3 solve for N.