
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<sub>a</sub>(10 + x) - log<sub>a</sub>(10 - x), where a > 0 and a ≠ 1.

1. Find the domain of the function.
2. Determine the even or odd nature of the function and explain the reason.
3. Find the range of x if f(x) > 0.

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