Standard +0.3 This is a straightforward logarithm equation requiring application of standard log laws (power law and subtraction law) to combine terms, then solving the resulting algebraic equation. It's slightly above average difficulty due to requiring multiple steps and careful algebraic manipulation, but follows a standard textbook pattern with no novel insight needed.
Make reasonable solution attempt at a 3-term quadratic
M1
State \(x = 9\) and no other solutions (condone \(x = -1\) not deleted)
A1
[5]
Use $2 \ln(x + 3) = \ln(x + 3)^2$ | M1 |
Use law for addition or subtraction of logarithms | M1 |
Obtain correct quadratic expression in $x$ | A1 |
Make reasonable solution attempt at a 3-term quadratic | M1 |
State $x = 9$ and no other solutions (condone $x = -1$ not deleted) | A1 | [5]