| Exam Board | OCR |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Simultaneous equations |
| Type | Exponential or logarithmic simultaneous |
| Difficulty | Standard +0.8 This question requires manipulating exponential and logarithmic equations simultaneously, involving substitution and solving a transcendental equation. While the individual techniques are C3 standard, combining them with the exponential-logarithmic relationship and requiring numerical methods or careful algebraic manipulation makes this moderately harder than typical simultaneous equation questions. |
| Spec | 1.06g Equations with exponentials: solve a^x = b |
4. Giving your answers to 2 decimal places, solve the simultaneous equations
$$\begin{aligned}
& \mathrm { e } ^ { 2 y } - x + 2 = 0 \\
& \ln ( x + 3 ) - 2 y - 1 = 0
\end{aligned}$$
\hfill \mbox{\textit{OCR C3 Q4 [7]}}