
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
Given that all terms in the geometric sequence ${a_n}$ are positive numbers not equal to 1, and the sequence ${b_n}$ satisfies $b_n = \log{a_n}$. If $b_3 = 18$ and $b_6 = 12$, determine the maximum value of the sum of the first n terms of ${b_n}$.

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