Moderate -0.8 This is a straightforward exponential equation requiring taking logarithms of both sides and rearranging to isolate x. It's a standard textbook exercise with a clear method (take logs, use log laws, collect x terms, solve) requiring no problem-solving insight, making it easier than average but not trivial since it involves algebraic manipulation with logarithms.
Use law of the logarithm of a product, power or quotient
M1*
Obtain a correct linear equation, e.g. \((3x - 1)\ln 4 = \ln 3 + x \ln 5\)
A1
Solve a linear equation for \(x\)
DM1*
Obtain answer \(x = 0.975\)
A1
[4]
Use law of the logarithm of a product, power or quotient | M1* |
Obtain a correct linear equation, e.g. $(3x - 1)\ln 4 = \ln 3 + x \ln 5$ | A1 |
Solve a linear equation for $x$ | DM1* |
Obtain answer $x = 0.975$ | A1 | [4]