
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
A circle has a radius of $\log_{10}(a^2)$ and a circumference of $\log_{10}(b^6)$. What is $\log_{a}{b}$?
A) $\frac{\pi}{3}$
B) $\frac{2\pi}{3}$
C) $\frac{3\pi}{2}$
D) $2\pi$
E) $3\pi$

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