Given :
A colony of bacteria grows according to the law of uninhibited growth
according to the function :
[tex]N(t) = 78e^{0.025t}[/tex] .......1)
To Find :
How long will it take for the population to reach 530 grams.
Solution :
Putting 530 in equation 1 , we get :
[tex]530 = 78e^{0.025t}\\\\e^{0.025t}=6.79[/tex]
Taking log on both sides.
[tex]0.025t = log( 6.79)\\\\0.025t=1.915\\\\t=76.6\ days[/tex]
Hence, this is the required solution.
