
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
Consider that $\log(x^2y^5)$, $\log(x^4y^9)$, and $\log(x^7y^{12})$ are the first three terms of an arithmetic sequence. If the $10^\text{th}$ term of the sequence is $\log(y^m)$, determine the value of $m$.
A) 35
B) 45
C) 55
D) 65
E) 75

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