| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Topic | Laws of Logarithms |
| Type | Two unrelated log parts: both solve equations |
| Difficulty | Moderate -0.3 This is a straightforward two-part question on logarithms requiring standard techniques: (a) taking logs of both sides and (b) using the quotient law then solving. Both are routine textbook exercises with clear methods, making it slightly easier than average but still requiring proper execution of logarithm laws. |
| Spec | 1.06f Laws of logarithms: addition, subtraction, power rules1.06g Equations with exponentials: solve a^x = b |
Find, giving your answer to 3 significant figures where appropriate, the value of $x$ for which
\begin{enumerate}[label=(\alph*)]
\item $3^x = 5$,
[3]
\item $\log_2(2x + 1) - \log_2 x = 2$.
[4]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q3 [7]}}