
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 curve $y=x^{n+1}$ where $n\in\mathbb{N}^+$, the tangent line at the point $(1, 1)$ intersects the x-axis at a point with x-coordinate $x_n$. Calculate the value of $\log_{2015}x_1+\log_{2015}x_2+\ldots+\log_{2015}x_{2014}$.

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