
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
There is a type of bacteria A, which divides once every hour, and each bacterium divides into 2 during division. There is a certain drink of 200 milliliters, in which the concentration of bacteria A is 20 per milliliter:  
(1) Try to express the number of bacteria A in the drink as a function of the number of hours passed, $x$;  
(2) If the total number of bacteria A in the drink exceeds 90,000, it will be harmful to the human body. How many hours later will the drink become harmful to the human body? (Accurate to 0.1 hour).

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