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The resulting C-14 is unstable and decays back to N-14 with a measured half-life of approximately 5,730 years.
However, there are some underlying assumptions to consider.
Age of the Earth - The Geologic Column The geologic column is the older of the two dating methods employed by scientists to determine the age of the earth.
The changing ratio of C-12 to C-14 indicates the length of time since the tree stopped absorbing carbon, i.e., the time of its death.
Obviously, if half the C-14 decays in 5,730 years, and half more decays in another 5,730 years, by ten half-lives (57,300 years) there would be essentially no C-14 left.
Furthermore, the assumptions on which it is based and the conditions which must be satisfied are questionable, and in practice, no one trusts it beyond about 3,000 or 4,000 years, and then only if it can be checked by some historical means.