
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
Sal determines that the positive value $x$ he is studying satisfies the inequality $2\log{x} \ge \log{8} + \log{x}$. If $x$ is also less than or equal to 32, what is the minimum value of $x$?
A) x = 12  
B) x = 16  
C) x = 8  
D) x = 23  
E) x = 7

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