
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 a sequence ${a_n}$ with the sum of its first $n$ terms denoted as $S_n$, it is known that for any positive integer $n$, the equation $a_n = \frac{3}{4}S_n + 2$ holds.

(1) Let $b_n = \log_2{a_n}$. Find the general formula for the sequence ${b_n}$.

(2) Let $c_n = \frac{1}{b_nb_{n+1}}$. Find the sum of the first $n$ terms, denoted as $T_n$, for the sequence ${c_n}$.

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