June 2025 Paper 3 Q4
4
(a) State the value of\[\log_a a^2\]
where \(a \gt 0\)
[1 mark](b) Find the value of\[\log_a \sqrt{a} - \log_a \frac{1}{a^2}\]
where \(a \gt 0\)
[2 marks]| Scheme | Marks | AO |
|---|---|---|
| Obtains 2 | B1 | 1.2 |
| (1) |
Typical solution
2
| Scheme | Marks | AO |
|---|---|---|
| Uses at least one log rule correctly or substitutes a value of \(a \gt 0\) correctly into the full expression leading to a positive value | M1 | 1.1a |
| Obtains 2.5 Do not ISW | A1 | 1.1b |
| (2) | ||
| (3 marks) |