Posted by **martha** on Wednesday, April 4, 2012 at 4:59pm.

only 5% of the carbon-14 in a small wooden bowl remains , how old is the bowl?

Hint, half-life for carbon –14 us 5730 years

- math -
**Reiny**, Wednesday, April 4, 2012 at 5:26pm
Since this is a "half-life" situation we can use

1/2 or .5 as the base in our exponential equation

5 = 100 (1/2)^(t/5730)

.05 = .5 ^(t/5730)

take ln of both sides

ln 0.05 = (t/5730) ln 0.5

t/5730 = ln 0.05/ln 0.5 = 4.3219...

t = appr 24765 years

- math -
**Bruce**, Wednesday, February 27, 2013 at 10:06pm
Unless your teacher gives you 5700 as the half life.

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