
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
Use $\max\{a, b\}$ to represent the maximum value between $a$ and $b$. Suppose the function $f(x)=\max\{-4x^{3}+kx-1, \ln x\}$ (where $x > 0$) has three zeros, then the range of the real number $k$ is ______.

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