SOLUTION: Yesterday I submitted this problem;however,forgot to include e. Please help.Thank You the number of bacteria present in a culture after t minutes as B=100e^kt If there are 62

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: Yesterday I submitted this problem;however,forgot to include e. Please help.Thank You the number of bacteria present in a culture after t minutes as B=100e^kt If there are 62      Log On

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Question 54764: Yesterday I submitted this problem;however,forgot to include e.
Please help.Thank You
the number of bacteria present in a culture after t minutes as B=100e^kt If there are 6231 bacteria present after 11 minutes, find k.
Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
the number of bacteria present in a culture after t minutes as B=100e^kt If there are 6231 bacteria present after 11 minutes, find k.
B=6231 and t=11
6231=100e%5E%28k%2A11%29
6231%2F100=100e%5E%2811k%29%2F100
62.31=e%5E%2811k%29 When solving for a variable in the exponent take the ln of both sides:
ln%2862.31%29=ln%28e%5E%2811k%29%29
ln%2862.31%29=11kln%28e%29 because highlight%28loga%28b%5Ec%29=cloga%28b%29%29
ln%2862.31%29=11k%281%29 because highlight%28ln%28e%29=1%29
ln%2862.31%29=11k
%28ln%2862.31%29%29%2F11=11k%2F11
highlight%28.3756474479=k%29
:
Check by subtitution:
6231=100e%5E%28.3756474479%2A11%29
6231=6231 We're right.
Happy Calculating!!!