
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: $\log _{a}b\left(a \gt 0,a\neq 1,b \gt 0\right)$ represents an operation between $a$ and $b$. The following rules apply: $\log _{a}a^{n}=n$ and $\log _{N}M=\frac{lo{g}_{nM}}{lo{g}_{nN}}$ where $a \gt 0$, $a\neq 1$, $N \gt 0$, $N\neq 1$, $M \gt 0$. For example, $\log _{2}2^{3}=3$, $\log _{2}5=\frac{lo{g}_{10}5}{lo{g}_{10}2}$. Find $\log _{8}32=$____.

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