| Exam Board | OCR |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2009 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Exponential Equations & Modelling |
| Type | Simple exponential equation solving |
| Difficulty | Moderate -0.8 This is a straightforward application of logarithms to solve an exponential equation—a standard C2 technique requiring taking logs of both sides, using log laws, and rearranging. It's simpler than average A-level questions as it's purely procedural with no problem-solving or conceptual insight needed, though not trivial since it requires correct manipulation of logarithmic expressions. |
| Spec | 1.06g Equations with exponentials: solve a^x = b |
3 Use logarithms to solve the equation $7 ^ { x } = 2 ^ { x + 1 }$, giving the value of $x$ correct to 3 significant figures.
\hfill \mbox{\textit{OCR C2 2009 Q3 [5]}}