A wooden artifact from an ancient tomb contains 24 percent of the carbon-14 that is present in living trees. How long ago, to the nearest year

Question

A wooden artifact from an ancient tomb contains 24 percent of the carbon-14 that is present in living trees. How long ago, to the nearest year, was the artifact made? (The half-life of carbon-14 is 5730 years.)

_____ years

Please use algebra to solve this.

Answer 1

0.24 = (0.5)^t/5740

ln 0.24 = (t / 5740)(ln 0.5)

Can you solve for t and answer?