
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 $f(x)=\log_{a}(1-x)-\log_{a}(1+x)$ $(a > 0, a \neq 1)$.  
$(1)$ Find the domain of the function $f(x)$.  
$(2)$ Determine the parity of $f(x)$.  
$(3)$ Find the range of $x$ for which the inequality $f(x) < 0$ holds.

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