
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 \(\frac{\log{a}}{p}=\frac{\log{b}}{q} =\frac{\log{c}}{r} =\log{x}\), where all logarithms are to the same base and \(x \not= 1\). If \(\frac{a^2}{bc}=x^y\), find \(y\).

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