## isaacchongg 2 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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1. geoffb

Do you know the formula for doubling growth rate?

2. isaacchongg

the exponential growth and doubling equation is: P(t)=Po(2)^(t-to)/d

3. satellite73

$6=2^{\frac{t}{50}}$ solve for $$t$$

4. satellite73

takes exactly two steps: change of base gives $\frac{t}{50}=\frac{\ln(6)}{\ln(2)}$ $t=\frac{50\ln(6)}{\ln(2)}$

5. isaacchongg

what would the exact answer be and how would you solve that, i want to understand each step.