
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given the function \( f(x)=\begin{cases}a-x & x \in[0,3] \\ a \log _{2} x & x \in(3,+\infty)\end{cases} \), where \( a \) is a constant, if \( f(2) < f(4) \), then the range of values for \( a \) is ____.

Present the answer in LaTex format: \boxed{Your answer}
user