| Exam Board | OCR |
|---|---|
| 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 application of logarithm laws (product, quotient, and power rules) with no problem-solving required. Students need to recognize that 45 = 3² × 5 and 0.3 = 3/10 = 3/(2×5), then apply standard rules mechanically. Easier than average as it's pure recall and manipulation. |
| Spec | 1.06f Laws of logarithms: addition, subtraction, power rules |
2. Given that $p = \log _ { 2 } 3$ and $q = \log _ { 2 } 5$, find expressions in terms of $p$ and $q$ for\\
(i) $\quad \log _ { 2 } 45$,\\
(ii) $\log _ { 2 } 0.3$\\
\hfill \mbox{\textit{OCR C2 Q2 [6]}}