| Exam Board | OCR |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2008 |
| Session | January |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Laws of Logarithms |
| Type | Combine logs into single logarithm |
| Difficulty | Easy -1.8 This is a straightforward recall question testing basic logarithm laws (addition and subtraction rules). Both parts are direct one-step applications requiring no problem-solving or insight—students simply apply log(A) + log(B) = log(AB) and n·log(A) = log(A^n). This is significantly easier than average A-level questions. |
| Spec | 1.06f Laws of logarithms: addition, subtraction, power rules |
3 Express each of the following as a single logarithm:\\
(i) $\log _ { a } 2 + \log _ { a } 3$,\\
(ii) $2 \log _ { 10 } x - 3 \log _ { 10 } y$.
\hfill \mbox{\textit{OCR C2 2008 Q3 [4]}}