
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
If the inequality $\log_{a} x > \tan x (a > 0, a \neq 1)$ holds for any $x \in \left(0, \frac{\pi}{4}\right)$, then the range of the real number $a$ is _____.

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