June 2024 Paper 2 Q4
4 Use logarithms to solve the equation
\[5^{x-2} = 7^{1570}\]Give your answer to two decimal places. [3 marks]
| Scheme | Marks | AO |
|---|---|---|
| Takes logs of both sides to same base PI by \(x - 2 = \log_5 7^{1570}\) | B1 | 1.1b |
| Uses \(\log A^n = n\log A\) PI by \(x - 2 = \log_5 7^{1570}\) | M1 | 1.1a |
| Completes a reasoned argument using logarithms to obtain AWRT 1900 | R1 | 2.1 |
| (3 marks) |