
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 $\log_{10}2 = x$ and $\log_{10}7 = y$, then find $\log_{12}16$.
A) $\frac{4x}{3-x}$
B) $\frac{2x+y}{1-x}$
C) $\frac{4x}{1-y+2x}$
D) $\frac{4x + 2y}{1 - x}$
E) $\frac{4x}{2 - y}$

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