Standard +0.3 This is a straightforward application of logarithm laws (combining logs using subtraction and power rules) followed by solving a quadratic equation. It requires standard algebraic manipulation with no novel insight, making it slightly easier than average for A-level.
Obtain \(\frac{(x+4)^2}{x} = x + a\) or equivalent without logarithm involved
A1
Rearrange to express \(x\) in terms of \(a\)
M1 d*M
Obtain \(\frac{16}{a-8}\) or equivalent
A1
[4]
Apply at least one logarithm property correctly | *M1 |
Obtain $\frac{(x+4)^2}{x} = x + a$ or equivalent without logarithm involved | A1 |
Rearrange to express $x$ in terms of $a$ | M1 d*M |
Obtain $\frac{16}{a-8}$ or equivalent | A1 | [4]