
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 curve $y=x^{n+1}$ ($n\in\mathbb{N}^{+}$) have a tangent line at the point $(1,1)$ that intersects the $x$-axis at the point with the $x$-coordinate $x_{n}$. Find 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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