
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
Let $O_1$ denote the original oxygen consumption unit of the salmon, and let $v_1$ denote its original swimming speed. Given that the swimming speed of the salmon can be expressed as $v=\frac{1}{2}{\log}_{3}\frac{O}{100}$, find the ratio of the new oxygen consumption unit $O_2$ to the original oxygen consumption unit $O_1$ such that the swimming speed of the salmon is increased by 2 m/s.

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