| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2016 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Laws of Logarithms |
| Type | Two unrelated log/algebra parts - simplify/express then solve |
| Difficulty | Moderate -0.8 Part (i) is direct application of basic log laws (log 1 = 0 and log of a power). Part (ii) is a standard logarithm equation requiring taking logs of both sides and rearranging—routine C2 material with no problem-solving insight needed. Both parts are straightforward textbook exercises below average difficulty. |
| Spec | 1.06f Laws of logarithms: addition, subtraction, power rules1.06g Equations with exponentials: solve a^x = b |
\begin{enumerate}[label=(\roman*)]
\item Simplify $\log_a 1 - \log_a (a^m)^3$. [2]
\item Use logarithms to solve the equation $3^{2x+1} = 1000$. Give your answer correct to 3 significant figures. [3]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C2 2016 Q8 [5]}}