| Exam Board | Edexcel |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Exponential Equations & Modelling |
| Type | Natural logarithm equation solving |
| Difficulty | Easy -1.2 This question tests routine application of logarithm and exponential rules with minimal steps. Part (i) requires taking ln of both sides and rearranging; part (ii) requires exponentiating both sides. Both are direct one-step inversions with simple algebra, making this easier than average A-level questions which typically require multi-step problem-solving or integration of multiple techniques. |
| Spec | 1.06g Equations with exponentials: solve a^x = b |
3. Find the exact solutions of\\
(i) $\mathrm { e } ^ { 2 x + 3 } = 6$,\\
(ii) $\ln ( 3 x + 2 ) = 4$.\\
\hfill \mbox{\textit{Edexcel C3 Q3 [6]}}