An artifact was found and tested for its carbon-14 content. If 84%
of the original carbon-14 was still present, what is its probable age
(to the nearest 100 years)? (Carbon-14 has a half-life of 5,730 years.)

An artifact was found and tested for its carbon-14 content. If 84% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? Use that carbon-14 has half-life of 5,730 years. ---- A(t) = Ao(1/2)^(t/5730) ---------- 0.84*Ao = Ao(1/2)^(t/5730) --- (1/2)^(t/5730) = 0.84 ---- Take the log:

--- (t/5730) = log(0.84)/log(1/2) = 0.2515 --- t = 5730*0.2515 = 1441.32 years