
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 \(\frac{\lg a}{p} = \frac{\lg b}{q} = \frac{\lg c}{r} = \lg x\), where \(x \neq 1\), and \(\frac{b^2}{ac} = x^y\), find the value of \(y\).

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