$3$ years ago, you invested $$13,300.$ In $3$ years, you expect to have $$19,993.$ If you expect to earn the same annual return after $3$ years from today as the annual return implied from the past and expected values given in the problem, then in how many years from today do you expect to have $$38,934?$

Input instructions: Round your answer to $2$ decimal places.

years