| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Solve exponential equations |
| Difficulty | Easy -1.2 This is a straightforward exponential equation requiring only the basic technique of expressing both sides with the same base (9 = 3²), then equating exponents to get 2x = x + 2. It's a single-step problem testing routine manipulation of indices, making it easier than average. |
| Spec | 1.06g Equations with exponentials: solve a^x = b |
\begin{enumerate}
\item Solve the equation
\end{enumerate}
$$9 ^ { x } = 3 ^ { x + 2 } .$$
\hfill \mbox{\textit{OCR C1 Q1 [3]}}