A-Level Maths Test | Logs

Exponential graphs

Rules of Logarithms

  1. log(a) + log(b) = log(ab)
  2. log(a) - log(b) = log(a/b)
  3. log(a)n = nlog(a)
  4. loga(a) = 1
  5. If loga(x) = 5 then x = a5

Question 1

  • log(a)n = nlog(a)

Question 2

  • log(a) + log(b) = log(ab)
  • log(a) - log(b) = log(a/b)

Question 3

  • log both sides

Solving logarithmic equations

Question 4

  • If loga(x) = 5 then x = a5

Question 5

Question 6

Problem solving

Question 7

  • loga(a) = 1

Question 8

Question 9

Question 10

Question 11

Modelling

Question 12

Question 13

Question 14