| Exam Board | OCR |
|---|---|
| Module | H240/03 (Pure Mathematics and Mechanics) |
| Year | 2023 |
| Session | June |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Topic | Exponential Equations & Modelling |
| Type | Simple exponential equation solving |
| Difficulty | Easy -1.2 This is a straightforward logarithmic equation requiring only standard technique: take logs of both sides, expand using log laws, collect terms in x, and solve. It's a routine 3-mark question with no conceptual difficulty or problem-solving required, making it easier than average. |
| Spec | 1.06f Laws of logarithms: addition, subtraction, power rules1.06g Equations with exponentials: solve a^x = b |
Using logarithms, solve the equation
$$4^{2x+1} = 5^x,$$
giving your answer correct to 3 significant figures. [3]
\hfill \mbox{\textit{OCR H240/03 2023 Q1 [3]}}