
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
If $a^{x}=N$, $(a \gt 0$, and $a\neq 1)$, then $x$ is called the logarithm of $N$ with base $a$. Denoted as: $x=\log _{a}N$. For example: $2^{2}=4$, then $2=\log _{2}4$; $2^{3}=8$, then $3=\log _{2}8$; $3^{3}=27$, then $\log _{3}27=3$; then $\log _{5}125=$____.

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