
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 $a>1$, $0<b<1$, and $c<0$, arrange $\log_a b$, $0$, $1$, $a^c$ in ascending order. (Use “<” to connect)

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