Calculus
posted by Brittany on .
In the year 2005, a picture supposedly painted by a famous artist some time after 1815 but before 1865 contains 96.5 percent of its carbon14 (halflife 5730 years).
From this information, could this picture have been painted by this artist?
Approximately how old is the painting?

.965= (1/2)^(t/5730)
take the ln of each side
ln(.965)=t/5730 * ln (1/2)
solve for t.
I get about 300 years ago it was painted.