
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 \(\frac{\log{a}}{p} = \frac{\log{b}}{q} = \frac{\log{c}}{r} = \log{x}\), all logarithms to base 10, and \( x \neq 1 \). If \(\frac{b^3}{a^2c} = x^y\), determine the value of \( y \).

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