SOLUTION: find the associated half life or doubling time. Q=1800e^-0.025t could someone please explain to me how to do this problem?

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: find the associated half life or doubling time. Q=1800e^-0.025t could someone please explain to me how to do this problem?      Log On


   

Question 362272: find the associated half life or doubling time.
Q=1800e^-0.025t
could someone please explain to me how to do this problem?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The amount at time t=0 is Q%280%29=1800
.
.
Find t when Q%28t%29=%281%2F2%29%281800%29=900
.
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900=1800e%5E%28-0.025t%29
e%5E%28-0.025t%29=0.5
-0.025t=ln%280.5%29
t=-ln%280.5%29%2F%280.025%29 or approximately,
t=27.73