
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 $z = (\log_3 4)(\log_4 5)\cdots(\log_{19}20)$, calculate the value of $z$.
**A)** $\frac{\log 10}{\log 3}$  
**B)** $\frac{\log 15}{\log 3}$  
**C)** $\frac{\log 20}{\log 3}$  
**D)** $\frac{\log 25}{\log 3}$

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