A-Level Maths | 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. log_a(a) = 1
5. If log_a(x) = 5 then x = a⁵

Question 1

• log(a)ⁿ = nlog(a)

Question 2a

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

Question 2b

Question 3

• log both sides

Solving logarithmic equations

Question 4a

• If log_a(x) = 5 then x = a⁵

Question 4b

Question 4c

Modelling

Question 5a

Question 5b

Question 5c

Problem solving

Question 6a

• log_a(a) = 1

Question 6b

Question 9

Question 6c

Question 6d