
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 preservation time of milk varies with different storage temperatures. Assume that the relationship between the preservation time and the storage temperature is an exponential function: $y=ka^{x} (a > 0, a \neq 1)$ (where $y$ (unit: $h$) represents the preservation time of milk, and $x$ (unit: ${\,}^\circ C$) represents the storage temperature). If the milk is placed in a refrigerator at ${{0}^{0}}C$, the preservation time is $192h$. If it is placed in a kitchen at ${{22}^{0}}C$, the preservation time is approximately $42h$. If it is hoped that the preservation time is $96 h$, the storage temperature is approximately $\,\,\, ^\circ C$. (Reference data: $\lg 2=0.30,\lg 3=0.48,\lg 7=0.84$.)

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