
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
If \(\log_4{6} = p\) and \(\log_6{4} = q\), then, in terms of \(p\) and \(q\), \(\log_{24}{16}\) equals
A) \(\frac{2p}{p+1}\)  
B) \(pq\)  
C) \(2pq\)  
D) \(p^2 + q^2\)  
E) \(\frac{2q}{q+1}\)

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