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anonymous
 3 years ago
A colony of bacteria is growing exponentially, doubling in size every 50 minutes, How many minutes will it take for the colony to become six times it current size?
anonymous
 3 years ago
A colony of bacteria is growing exponentially, doubling in size every 50 minutes, How many minutes will it take for the colony to become six times it current size?

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Do you know the formula for doubling growth rate?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0the exponential growth and doubling equation is: P(t)=Po(2)^(tto)/d

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[6=2^{\frac{t}{50}}\] solve for \(t\)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0takes exactly two steps: change of base gives \[\frac{t}{50}=\frac{\ln(6)}{\ln(2)}\] \[t=\frac{50\ln(6)}{\ln(2)}\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0what would the exact answer be and how would you solve that, i want to understand each step.
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