The age of the ancient piece of wood that she located given the data is 1482 years
How to determine the number of half-lives
Original amount (N₀) = 100%
Amount remaining (N) = 83%
Number of half-lives (n) =?
2ⁿ = N₀ / N
2ⁿ = 100 / 83
2ⁿ = 1.2
Take the Log of both side
Log 2ⁿ = Log 1.2
nLog 2 = Log 1.2
Divide both side by Log 2
n = Log 1.2 / Log 2
n = 0.26
How to determine the age
Number of half-lives (n) = 0.26
Half-life (t½) = 5700 years
Time (t) =?
t = n × t½
t = 0.26 × 5700
t = 1482 years
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