Standard +0.3 This is a straightforward logarithm equation requiring application of the power law (2ln x = ln x²) and combining logarithms, followed by solving a simple quadratic. It's slightly above average difficulty due to requiring multiple log laws and algebraic manipulation, but remains a standard textbook exercise with no novel insight needed.
Make reasonable solution attempt at a 3-term quadratic (dependent on previous M marks)
DM1
State \(x = \frac{3}{5}\) and no other solutions
A1
[5]
Use $2 \ln x = \ln(x^3)$ | M1 |
Use law for addition or subtraction of logarithms | M1 |
Obtain correct quadratic equation in $x$ | A1 |
Make reasonable solution attempt at a 3-term quadratic (dependent on previous M marks) | DM1 |
State $x = \frac{3}{5}$ and no other solutions | A1 | [5]