isaacchongg Group Title 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? one year ago one year ago

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1. geoffb Group Title

Do you know the formula for doubling growth rate?

2. isaacchongg Group Title

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

3. satellite73 Group Title

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

4. satellite73 Group Title

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 Group Title

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