
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
Suppose that \( p \) and \( q \) are positive numbers such that 
\[
\log_8(p) = \log_{18}(q) = \log_{32}(p+q).
\]
What is the value of \( \frac{p}{q} \)?
A) \( 1 \)
B) \( \frac{1}{2} \)
C) \( 2 \)
D) \( \frac{3}{2} \)
E) \( \frac{2}{3} \)

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