Moderate -0.8 This is a straightforward rearrangement question requiring basic logarithm laws. Students need to isolate 3^{-y}, take logarithms of both sides, and apply log rules—all standard techniques with no problem-solving insight required. The 3-mark allocation confirms it's a routine manipulation exercise, making it easier than average.
| Use law for the logarithm of a product or quotient, or the logarithm of a power | M1 |
| Obtain $\ln x = \ln 4 - y \ln 3$, or equivalent | A1 |
| Obtain answer $y = \frac{\ln 4 - \ln x}{\ln 3}$, or equivalent | A1 | 3 |