
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 $B={x|y=\sqrt{(x-2)(5-x)}}$,
(1) The "length" of an interval $[a,b]$ is defined as $b-a$. If the "length" of the interval $A$ is $3$, find the value of the real number $t$.
(2) If $A \subset B$, find the range of values for the real number $t$.

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