
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
The numbers $\log_2(a^4b^9)$, $\log_2(a^7b^{14})$, and $\log_2(a^{11}b^{18})$ form the first three terms of an arithmetic sequence. Find the value of $m$ if the $15^\text{th}$ term of the sequence is $\log_2{b^m}$.
A) 116 
B) 122 
C) 125
D) 132

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