| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | 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 only basic log laws (specifically that log 16 = 4 log 2 and log(ab) = log a + log b). Part (a) is immediate once you recognize 16 = 2^4, and part (b) requires one additional step using the product rule. No problem-solving insight needed, just routine application of standard techniques. |
| Spec | 1.06c Logarithm definition: log_a(x) as inverse of a^x1.06f Laws of logarithms: addition, subtraction, power rules |
Given that $p = \log_q 16$, express in terms of $p$,
\begin{enumerate}[label=(\alph*)]
\item $\log_q 2$. [2]
\item $\log_q (8q)$. [4]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q1 [6]}}