Moderate -0.3 This is a straightforward logarithm equation requiring application of standard log laws (power law and addition law) to simplify, then solving the resulting quadratic. It's slightly easier than average as it follows a standard template with no conceptual surprises, though it does require multiple steps and careful algebraic manipulation.
Use law for the logarithm of a product, quotient or power
M1
Obtain a correct equation free of logarithms, e.g. \(\frac{x+4}{x^2} = 4\)
A1
Solve a 3-term quadratic obtaining at least one root
M1
Obtain final answer \(x = 1.13\) only
A1
4
Use law for the logarithm of a product, quotient or power | M1 |
Obtain a correct equation free of logarithms, e.g. $\frac{x+4}{x^2} = 4$ | A1 |
Solve a 3-term quadratic obtaining at least one root | M1 |
Obtain final answer $x = 1.13$ only | A1 | 4 |