Practise the method.Example 1A culture grows by the same factor each hour. It has 12 cells at hour 1 and 108 at hour 3. At which hour does it first have 324 cells?Show worked answerAnswer: 4Two hours multiply the population by 9each hour multiplies by 3.At hour 0 there are 4 cells.Solve 4×3t=324:t=4.Example 2A sample loses the same fraction each hour. It contains 13122 mg at hour 0 and 1458 mg at hour 2. After how many hours does it contain 6 mg?Show worked answerAnswer: 7Over two hours it retains 91it retains 31 each hour.Solve 3t13122=6;since 2187=37,t=7.Example 3A culture grows by the same factor each hour. It has 9 cells at hour 1 and 81 at hour 3. At which hour does it first have 243 cells?Show worked answerAnswer: 4Two hours multiply the population by 9each hour multiplies by 3.At hour 0 there are 3 cells.Solve 3×3t=243:t=4.