
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 the numbers $\log(a^2b^6)$, $\log(a^4b^{11})$, and $\log(a^7b^{14})$ being the first three terms of an arithmetic sequence, and the $8^\text{th}$ term of this sequence is $\log{b^m}$. What is $m$?
A) 56
B) 64
C) 73
D) 82
E) 91

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