
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 that \( f(x) \) is an even function defined on \( \mathbf{R} \) and is continuous. For \( x > 0 \), \( f'(x) < 0 \). Find the set of solutions for the inequality \( f(\log x) > f(1) \).

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