| Exam Board | Pre-U |
|---|---|
| Module | Pre-U 9794/1 (Pre-U Mathematics Paper 1) |
| Year | 2017 |
| Session | June |
| Marks | 5 |
| Topic | Laws of Logarithms |
| Type | Combine logs into single logarithm |
| Difficulty | Easy -1.3 This is a straightforward application of basic logarithm laws (addition, subtraction, and power rules) with no problem-solving required. Both parts are routine drill exercises testing recall of log laws, simpler than typical A-level questions which usually combine multiple techniques or require some reasoning. |
| Spec | 1.06f Laws of logarithms: addition, subtraction, power rules |
**Question 2(i)**
Apply correctly at least one logarithm law. **M1**
Obtain $\log 6$ **A1**
**Question 2(ii)**
Apply the power law correctly at least once **M1\***
Correctly combine log terms **depM1**
Obtain $\log\left(\dfrac{x^2z^2}{y^3}\right)$ **A1**
**Total: 5 marks**2 Express each of the following as a single logarithm.\\
(i) $\log 3 + \log 4 - \log 2$\\
(ii) $2 \log x - 3 \log y + 2 \log z$
\hfill \mbox{\textit{Pre-U Pre-U 9794/1 2017 Q2 [5]}}