| Exam Board | OCR |
|---|---|
| Module | H240/01 (Pure Mathematics) |
| Year | 2017 |
| Session | Specimen |
| Marks | 4 |
| Topic | Laws of Logarithms |
| Type | Solve exponential equation using logarithms |
| Difficulty | Moderate -0.3 This is a straightforward logarithmic equation requiring students to take logs of both sides, apply log laws to bring down the exponents, and solve for x. While it involves multiple steps (taking logs, expanding, rearranging, calculating), these are all standard techniques with no conceptual difficulty or problem-solving insight required, making it slightly easier than average. |
| Spec | 1.06f Laws of logarithms: addition, subtraction, power rules1.06g Equations with exponentials: solve a^x = b |
In this question you must show detailed reasoning.
Use logarithms to solve the equation $3^{2x+1} = 4^{100}$, giving your answer correct to 3 significant figures.
[4]
\hfill \mbox{\textit{OCR H240/01 2017 Q5 [4]}}