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isaacchongg
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?
Do you know the formula for doubling growth rate?
the exponential growth and doubling equation is: P(t)=Po(2)^(t-to)/d
\[6=2^{\frac{t}{50}}\] solve for \(t\)
takes exactly two steps: change of base gives \[\frac{t}{50}=\frac{\ln(6)}{\ln(2)}\] \[t=\frac{50\ln(6)}{\ln(2)}\]
what would the exact answer be and how would you solve that, i want to understand each step.