| Exam Board | OCR MEI |
|---|---|
| Module | AS Paper 2 (AS Paper 2) |
| Year | 2018 |
| Session | June |
| Marks | 2 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Laws of Logarithms |
| Type | State value of basic log |
| Difficulty | Easy -2.0 This question tests only direct recall of the most basic logarithm laws with no calculation or problem-solving required. Both parts are immediate applications of the definition: log_a(a^4) = 4 and log_a(1/a) = -1. This is significantly easier than average A-level questions, which typically require multiple steps or some problem-solving. |
| Spec | 1.06c Logarithm definition: log_a(x) as inverse of a^x1.06f Laws of logarithms: addition, subtraction, power rules |
| Answer | Marks | Guidance |
|---|---|---|
| 1 | (A) | 4 |
| [1] | 1.2 | |
| (B) | B1 | |
| [1] | 1.1 |
Question 1:
1 | (A) | 4 | B1
[1] | 1.2
(B) | B1
[1] | 1.1
Write down the value of
(A) $\log_a (a^4)$, [1]
(B) $\log_a \left(\frac{1}{a}\right)$. [1]
\hfill \mbox{\textit{OCR MEI AS Paper 2 2018 Q1 [2]}}