SOLUTION: The number of germs in a dish after t minutes is given as B=25e^(kt). If there are 2191 germs present after 6 minutes, find k (round out to 4 places).

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Question 74131: The number of germs in a dish after t minutes is given as B=25e^(kt). If there are 2191 germs present after 6 minutes, find k (round out to 4 places).
Answer by funmath(2933) About Me  (Show Source):
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The number of germs in a dish after t minutes is given as B=25e^(kt). If there are 2191 germs present after 6 minutes, find k (round out to 4 places).
B=2191
t=6
2191=25e%5E%28k%2A6%29
2191%2F25=25e%5E%286k%29%2F25
2191%2F25=e%5E%286k%29
ln%282191%2F25%29=ln%28e%5E%286k%29%29
ln%282191%2F25%29=6kln%28e%29 ln(e)=1
ln%282191%2F25%29=6k
ln%282191%2F25%29%2F6=6k%2F6
.74554=k
highlight%28k=.7455%29
Happy Calculating!!!!