The age of fossils can sometimes be determined by radiometric dating, which is based on the constant rate of decay of radioactive isotopes. The time required for half of a radioactive isotope to decay is called the half-life of that isotope. For example, the isotope carbon-14 has a half-life of 5,730 years.
Suppose it is determined that a fossilized leaf contains 12.5% of the carbon-14 that was present when the fossil formed.
How old is the fossil? Express your answer numerically.

Question

The age of fossils can sometimes be determined by radiometric dating, which is based on the constant rate of decay of radioactive isotopes. The time required for half of a radioactive isotope to decay is called the half-life of that isotope. For example, the isotope carbon-14 has a half-life of 5,730 years. 
Suppose it is determined that a fossilized leaf contains 12.5% of the carbon-14 that was present when the fossil formed. 
How old is the fossil? Express your answer numerically.