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InsaneScientist
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Homework Statement
The half life T½ of Carbon-14 is 5730 years. What is its decay constant? After what length of time will 35% of an initial sample of Carbon-14 remain?
Homework Equations
Decay constant λ= 0.693 / T½
Where N = amount of radioactive substance,
N=N0e-λt
The Attempt at a Solution
Okay, so I can get the decay constant easily,
λ= 0.693 / 5730 = 1.2094x10-4
but I just can't figure out an expression for the time taken for the amount of nuclear material to remain.
I'm thinking the amount can be expressed in the formula:
0.35=e-λt
It's probably some simple algebra but I can't figure out how to isolate t in this equation