Moderate -0.8 This is a straightforward exponential inequality requiring only taking logarithms of both sides and correctly handling the inequality direction when dividing by a negative logarithm. It's a single-step application of a standard technique with no conceptual complications, making it easier than average but not trivial since students must remember the sign reversal rule.
Use logarithms to obtain a linear inequality in \(x\), or corresponding equation
M1
Obtain critical value 3.11, or exact equivalent
A1
Obtain answer \(x > 3.11\)
A1
√ 3
Use logarithms to obtain a linear inequality in $x$, or corresponding equation | M1 |
Obtain critical value 3.11, or exact equivalent | A1 |
Obtain answer $x > 3.11$ | A1 | √ 3