
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
Define an odd function \\(f(x)\\) on the domain \\(\mathbb{R}\\) that satisfies \\(f(x+ \dfrac {5}{2})=-f(x)\\), \\(f(1) > -1\\), and \\(f(4)=\log_{a}2\\) where \\(a > 0\\) and \\(a \neq 1\\). The range of the real number \\(a\\) is \_\_\_\_\_\_.

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