| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2009 |
| Session | January |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Laws of Logarithms |
| Type | State value of basic log |
| Difficulty | Easy -1.8 This is a very basic logarithm question testing fundamental recall of log laws. Part (i) is trivial (log_a(a)=1), while part (ii) requires only direct application of standard log rules (power law, product law, reciprocal) with no problem-solving or insight needed. Well below average difficulty for A-level. |
| Spec | 1.06c Logarithm definition: log_a(x) as inverse of a^x1.06f Laws of logarithms: addition, subtraction, power rules |
9
\begin{enumerate}[label=(\roman*)]
\item State the value of $\log _ { a } a$.
\item Express each of the following in terms of $\log _ { a } x$.\\
(A) $\log _ { a } x ^ { 3 } + \log _ { a } \sqrt { x }$\\
(B) $\log _ { a } \frac { 1 } { x }$
Section B (36 marks)
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C2 2009 Q9 [4]}}