
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]


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Let \( f(x) \) be a monotonic function defined on \( (0,+\infty) \). Given that for any \( x \in(0,+\infty) \), \( f\left[f(x)-2 \log _{2} x\right]=4 \), find the solution set of the inequality \( f(x)<6 \).

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