| Exam Board | OCR |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Laws of Logarithms |
| Type | Solve ln equation using subtraction law |
| Difficulty | Moderate -0.3 This is a straightforward application of the logarithm subtraction law to create a single log, then converting to exponential form and solving a linear equation. It's slightly easier than average as it follows a standard procedure with no conceptual challenges, though it does require multiple steps and careful algebraic manipulation. |
| Spec | 1.06f Laws of logarithms: addition, subtraction, power rules1.06g Equations with exponentials: solve a^x = b |
\begin{enumerate}
\item Solve the equation
\end{enumerate}
$$\log _ { 5 } ( 4 x + 3 ) - \log _ { 5 } ( x - 1 ) = 2$$
\hfill \mbox{\textit{OCR C2 Q1 [4]}}