| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Topic | Laws of Logarithms |
| Type | Two unrelated log parts: both solve equations |
| Difficulty | Moderate -0.8 Part (a) is a standard exponential equation requiring taking logs of both sides and rearranging - a routine C2 technique. Part (b) is a straightforward application of log laws (difference rule) followed by simple algebraic manipulation. Both parts are textbook exercises testing basic recall and application of standard methods with no problem-solving insight required, making this easier than average. |
| Spec | 1.06f Laws of logarithms: addition, subtraction, power rules1.06g Equations with exponentials: solve a^x = b |
Solve
\begin{enumerate}[label=(\alph*)]
\item $5^x = 8$, giving your answer to 3 significant figures,
[3]
\item $\log_2(x + 1) - \log_2 x = \log_2 7$.
[3]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q2 [6]}}