SOLUTION: The half life of carbon-14 is 5730 years. A sample has 5 grams of carbon-14 initially, and decays to 1 gram. If it follows the equation {{{ A=P(1/2)^(t/h) }}} where h is half lif

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The half life of carbon-14 is 5730 years. A sample has 5 grams of carbon-14 initially, and decays to 1 gram. If it follows the equation {{{ A=P(1/2)^(t/h) }}} where h is half lif      Log On


   

Question 835283: The half life of carbon-14 is 5730 years. A sample has 5 grams of carbon-14 initially, and decays to 1 gram. If it follows the equation
+A=P%281%2F2%29%5E%28t%2Fh%29+ where h is half life how long does it take to decay?
--- Thank you!---
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1=5%281%2F2%29%5E%28t%2F5730%29
%281%2F2%29%5E%28t%2F5730%29=1%2F5
t%2F5730=log%2810%2C%281%2F5%29%29%2Flog%2810%2C%281%2F2%29%29
t=5730%2A%28log%2810%2C%281%2F5%29%29%2Flog%2810%2C%281%2F2%29%29%29
or approximately
t=13305 years