
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 $\log_a{m} = c - 3\log_a{k}$, where $c = \log_a{a^2}$, determine $m$.
A) $\dfrac{a^3}{k^2}$
B) $\dfrac{k^2}{a^3}$
C) $\dfrac{a^2}{k^3}$
D) $\dfrac{k^3}{a^2}$
E) $a^2k^3$

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