
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 the set $A = \{2, \log_2 t\}$ and the set $B = \{x | (x-2)(x-5) \leq 0\}$,
1. For the interval $[a, b]$, the "length" of this interval is defined as $b - a$. If the "length" of set A is 3, find the value of the real number $t$.
2. If $A \subset B$, find the range of values of the real number $t$.

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