
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 a function $f\left(x\right)=\log _{a}(1-x)-\log _{a}(1+x)$, where $a \gt 0$ and $a\neq 1$. Find:<br/>
$(1)$ The domain of the function $f\left(x\right)$;<br/>
$(2)$ Determine the parity of $f\left(x\right)$ and explain the reason;<br/>
$(3)$ If $f({\frac{3}{5}})=2$, find the set of values of $x$ for which $f\left(x\right) \gt 0$ holds.

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