| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Indices and Surds |
| Type | Solve exponential equations |
| Difficulty | Easy -1.2 Part (a) is trivial recall requiring recognition that 8 = 2³. Part (b) is a standard index equation requiring rewriting both sides with the same base (2^(2x) = 2^(3(2-x))) and equating powers, which is routine C1 material with no problem-solving insight needed. The 4 marks reflect working steps rather than conceptual difficulty. |
| Spec | 1.02a Indices: laws of indices for rational exponents |
\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 Q1 [5]}}