
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
Compare the size of the two numbers in each of the following items:

(1) $\log_{6} 0.8$, $\log_{6} 9.1$;

(2) $\log_{0.1} 7$, $\log_{0.1} 9$;

(3) $\log_{0.1} 5$, $\log_{2.3} 5$;

(4) $\log_{a} 4$, $\log_{a} 6$ ($a > 0$ and $a \neq 1$)

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