A colony of bacteria triples in size every 6 hours

MATHEMATICS · Multi-part · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

A colony of bacteria triples in size every 6 hours. Initially there are 2,000 bacteria. (i) Determine the number of bacteria present after 2 days. (ii) Calculate the least number of 6-hour periods required for the population to exceed 1,000,000.

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