
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
If f(2) is the minimum value of the function f(x), where f(x) is defined as follows:
\[f(x)=\begin{cases} 
(x-a)^{2}+e, & x\leqslant 2 \\
\frac{x}{\ln x}+a+10, & x > 2 
\end{cases}\]
determine the range of values for a.

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