Moderate -0.5 This is a straightforward application of logarithm laws requiring students to use the subtraction law to combine terms, then exponentiate and solve a linear equation. It's slightly easier than average as it involves only one standard technique with no multi-step problem-solving or conceptual challenges.
Use laws of logarithms and remove logarithms correctly
M1
Obtain \(x + 2 = e^x\), or equivalent
A1
Obtain answer \(x = 0.313\)
A1
[3]
Use laws of logarithms and remove logarithms correctly | M1 |
Obtain $x + 2 = e^x$, or equivalent | A1 |
Obtain answer $x = 0.313$ | A1 | [3] | [SR: If the logarithmic work is to base 10 then only the M mark is available.]