
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
Let the function $f(x)=\log_{m}x$ ($m > 0$ and $m \neq 1$). If $m$ is the common ratio of the geometric sequence $\{a_n\} (n \in \mathbb{N}^*)$, and $f(a_2a_4a_6...a_{2018})=7$, then the value of $f(a_1^2)+f(a_2^2)+f(a_3^2)+…+f(a_{2018}^2)$ is __________.

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