Atoms And Nuclei

A ancient discovery found a sample, where \(75 \%\) of the original carbon (\(\mathrm{C}^{14}\)) remains. Then the age of the sample is
\(\binom{T_{\frac{1}{2}}\left(C^{14}\right)=5730 \text { years, } \ln 0.5=-0.7}{\ln (0.75)=-0.3}\)