| Exam Board | OCR |
|---|---|
| Module | H240/01 (Pure Mathematics) |
| Marks | 4 |
| Paper | 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 technique taught early in A-level. It requires taking logs of both sides, applying log laws (bringing down powers), and algebraic rearrangement, but involves no problem-solving insight or conceptual difficulty beyond routine procedure. |
| Spec | 1.06g Equations with exponentials: solve a^x = b |
5 In this question you must show detailed reasoning.
Use logarithms to solve the equation $3 ^ { 2 x + 1 } = 4 ^ { 100 }$, giving your answer correct to 3 significant figures.
\hfill \mbox{\textit{OCR H240/01 Q5 [4]}}