
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 that the sequence $\{a_n\}$ is a geometric sequence with a common ratio of 2, and let $b_n = \log_2 a_n$, and the sum of the first 10 terms of the sequence $\{b_n\}$ is 25, then the value of $a_1+a_2+a_3+\ldots+a_{10}$ is \_\_\_\_\_\_.

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