
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 function $f(x) = x^{n+1}$ ($n \in \mathbb{N}^*$), its graph intersects the line $x = 1$ at point $P$. If the tangent to the graph at point $P$ intersects the x-axis at the point with the x-coordinate $x_n$, calculate the value of $\log_{2014}x_1 + \log_{2014}x_2 + \ldots + \log_{2014}x_{2013}$.

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