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1. Solve the following equations. (a) logx

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IB Questionbank Maths SL 1

1. Solve the following equations.

(a) logx 49 = 2

(3) (b) log2 8 = x

(2)

(c) log25 x = 2

 1

(3) (d) log2 x + log2(x – 7) = 3

(5) (Total 13 marks)

2. The population of a city at the end of 1972 was 250 000. The population increases by 1.3 per year.

(a) Write down the population at the end of 1973.

(b) Find the population at the end of 2002.

(Total 6 marks)

3. Find the exact value of x in each of the following equations.

(a) 5x+1 = 625

(b) loga (3x + 5) = 2

(Total 6 marks)

4. Each year for the past five years the population of a certain country has increased at a steady rate of 2.7% per annum. The present population is 15.2 million.

(a) What was the population one year ago?

(b) What was the population five years ago?

(Total 4 marks)

5. A population of bacteria is growing at the rate of 2.3% per minute. How long will it take for the size of the population to double? Give your answer to the nearest minute.

(Total 4 marks)

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