half life of tree

Question

The​ half-life of​ carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows only

72​%

of the​ carbon-14 expected in living​ matter, when did the tree​ die?

Answer 1

Fraction left = 0.5ⁿ where n is # of half lives elapsed

0.72 = 0.5ⁿ

log 0.72 = n log 0.5

n = -.01427/-0.3010

n = 0.4741 half lives

0.4741 x 5600 yrs = 2655 years = age of tree

Depending when the sample was taken, find the year the tree died.