| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Topic | Laws of Logarithms |
| Type | Two unrelated log parts: one non-log algebraic part |
| Difficulty | Moderate -0.8 Part (a) is trivial recall (k=3). Part (b) requires expressing both sides as powers of 2 and equating exponents, which is a standard C1 technique with straightforward algebra. This is easier than average A-level content—routine manipulation with no problem-solving insight needed. |
| Spec | 1.02a Indices: laws of indices for rational exponents1.06g Equations with exponentials: solve a^x = b |
\begin{enumerate}[label=(\alph*)]
\item Given that $8 = 2^k$, write down the value of $k$. [1]
\item Given that $4^x = 8^{2-x}$, find the value of $x$. [4]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 Q5 [5]}}