| 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 -0.3 Part (a) is a straightforward application of logarithms to solve an exponential equation (routine C2 content). Part (b) requires applying laws of logarithms to simplify and solve, which is standard but involves multiple steps and algebraic manipulation. Overall, this is a typical C2 logarithm question that's slightly easier than average A-level difficulty due to being procedural with well-defined techniques, though part (b) requires careful handling of log laws. |
| Spec | 1.06f Laws of logarithms: addition, subtraction, power rules1.06g Equations with exponentials: solve a^x = b |
\begin{enumerate}[label=(\alph*)]
\item Find, to 3 significant figures, the value of $x$ for which $8^x = 0.8$.
[2]
\item Solve the equation
$2 \log_3 x - \log_3 7x = 1$.
[4]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q6 [6]}}