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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
    • 2 years ago
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    Do you know the formula for doubling growth rate?

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

  3. satellite73
    • 2 years ago
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    \[6=2^{\frac{t}{50}}\] solve for \(t\)

  4. satellite73
    • 2 years ago
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    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
    • 2 years ago
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    what would the exact answer be and how would you solve that, i want to understand each step.

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