
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 $\log_{10} 2 \approx 0.301$ and $\log_{10} 5 \approx 0.699$, estimate $\log_3 20$. Choose the best approximation from the choices provided.
**A)** $\frac{31}{12}$  
**B)** $\frac{33}{12}$  
**C)** $\frac{34}{12}$  
**D)** $\frac{35}{12}$  
**E)** $\frac{36}{12}$

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