
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
Evaluate $\log_{y^{12}}{x^2}\cdot\log_{x^{10}}{y^3}\cdot\log_{y^8}{x^4}\cdot\log_{x^6}{y^8}\cdot\log_{y^3}{x^{10}}$ and express it as $b\log_y{x}$ for what constant $b$?

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