O-LevelAdditional MathematicsLogarithmic and exponential functions4037/22 · May/June 2011 · Q89 Marks
Solve 3ˣ = 200, giving your answer to 2 decimal places.
- (a)(i)Solve 3ˣ = 200, giving your answer to 2 decimal places.[2]
- (a)(ii)Solve log₅ (5y + 40) – log₅ (y + 2) = 2.[4]
- (b)Given that (24x³)2 / (27 × 12x) = 2ᵃ3ᵇxᶜ, evaluate a, b and c.[3]
Mark scheme
Marking points from the official mark scheme (May/June 2011). The mark or mark type is shown in brackets.
- [1] (a)(i) x log 3 = log 200 or log₃ 200
- [1] (a)(i) 4.82
- [1] (a)(ii) 2 = log 25 or 2 = log₅ 5²
- [1] (a)(ii) log₅((5y + 40)/(y + 2)) = 2
- [1] (a)(ii) Deals with logs correctly and solves (e.g., (5y+40)/(y+2) = 25)
- [1] (a)(ii) y = -0.5
- [1] (b) a = 4
- [1] (b) b = -2
- [1] (b) c = 5
Write your answer and get it marked
On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.
Sign up free →