| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Laws of Logarithms |
| Type | Solve log equation with domain restrictions |
| Difficulty | Standard +0.3 This is a standard logarithm equation requiring application of log laws (power rule, subtraction rule) to combine terms, then converting to exponential form and solving a quadratic. It's slightly above average difficulty due to the multi-step algebraic manipulation and quadratic solving, but follows a well-practiced procedure with no novel insight required. |
| Spec | 1.06f Laws of logarithms: addition, subtraction, power rules1.06g Equations with exponentials: solve a^x = b |
| Answer | Marks | Guidance |
|---|---|---|
| 4 | 5.2 | 3 |
Question 4:
4 | 5.2 | 3 | 3 | 6Solve
$$2 \log_3 x - \log_3 (x - 2) = 2, \quad x > 2.$$ [6]
\hfill \mbox{\textit{Edexcel C2 Q4 [6]}}