| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Topic | Laws of Logarithms |
| Type | Express log in terms of given variables |
| Difficulty | Moderate -0.8 This is a straightforward logarithm manipulation question requiring basic log laws. Part (a) involves recognizing that 2 = 16^(1/4) and using log laws to express log_4 2 = p/4. Part (b) appears to have a typo (q undefined) but likely asks to express log_4(8q) using log laws and the given p value. Both parts are routine applications of index and logarithm laws with minimal problem-solving required, making this easier than average for A-level. |
| Spec | 1.06f Laws of logarithms: addition, subtraction, power rules |
Given that $p = \log_4 16$, express in terms of $p$,
\begin{enumerate}[label=(\alph*)]
\item $\log_4 2$. [2]
\item $\log_4 (8q)$. [4]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q18 [6]}}