1981 AHSME Problems/Problem 16
Revision as of 16:03, 28 January 2021 by Coolmath34 (talk | contribs) (Created page with "==Problem== The base three representation of <math>x</math> is <cmath>12112211122211112222</cmath> The first digit (on the left) of the base nine representation of <math>x</m...")
Problem
The base three representation of is
The first digit (on the left) of the base nine representation of
is
Solution
Notice that the value of the leftmost is equal to
Converting this to base 9, you would get
Therefore, the leftmost digit is equal to 1, and the answer is
Solution (Long Way)
Convert to base 10 then convert the result to base 9.
Therefore, the answer is
-edited by coolmath34