Algebra
An artifact was found and tested for its carbon14 content. If 76% of the original carbon14 was still present, what is its probable age (to the nearest 100 years)? (Carbon14 has a halflife of 5,730 years.)
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Anonymous

.76 = 1 (1/2)^(t/5730)
log both sides:
log .76 = (t/5730) log .5
t/5730 = log .76/log .5 = .39592...
t = 2268.67 years
or
t = appr 2300 years, correct to the nearest 100 yrs.
posted by Reiny
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