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1.6 Exponentials and Logarithms

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Question 61

The population of a bacterial colony, PPP, is being monitored in a laboratory. The number of bacteria is modelled by the equation

log⁡10P=2+0.04t \log_{10} P = 2 + 0.04t log10​P=2+0.04t

where t t\,t is the time in hours after monitoring began.

Use the equation of the model to answer parts (a) and (b).

a.

Find the initial population of the bacterial colony.

[2]
b.

After T T\,T hours, the population reaches 500. Find the value of TTT, giving your answer to 2 decimal places.

[3]

1.6 Exponentials and Logarithms Questions

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