
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 $\log_2(a) + \log_2(b) \ge 7$, and it is also known that $ab \leq 128$, determine the least value that can be taken on by $a+b$.
A) $14\sqrt{2}$
B) $15\sqrt{2}$
C) $16\sqrt{2}$
D) $17\sqrt{2}$
E) $18\sqrt{2}$

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