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 of the logarithm of a power and a product or quotient and remove logarithms
M1
Obtain a correct equation in any form, e.g. \(\frac{2x+3}{x} = 3\)
A1
Solve 3-term quadratic obtaining at least one root
M1
Obtain final answer 1.39 only
A1
[4]
Use law of the logarithm of a power and a product or quotient and remove logarithms | M1 |
Obtain a correct equation in any form, e.g. $\frac{2x+3}{x} = 3$ | A1 |
Solve 3-term quadratic obtaining at least one root | M1 |
Obtain final answer 1.39 only | A1 | [4]
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