| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2010 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Exponential Equations & Modelling |
| Type | Simple exponential equation solving |
| Difficulty | Moderate -0.8 Part (i) is a basic sketch of an exponential function requiring only knowledge of its shape and key features. Part (ii) is a routine logarithm application: take logs of both sides, use log laws to bring down the exponent, then solve algebraically. This is a standard textbook exercise with no problem-solving required, making it easier than average but not trivial since it requires correct manipulation of logarithms. |
| Spec | 1.06a Exponential function: a^x and e^x graphs and properties1.06g Equations with exponentials: solve a^x = b |
\begin{enumerate}[label=(\roman*)]
\item Sketch the graph of $y = 3^x$. [2]
\item Use logarithms to solve $3^{2x+1} = 10$, giving your answer correct to 2 decimal places. [3]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C2 2010 Q9 [5]}}