
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 curve $y=x^{n+1}$ ($x\in N^{*}$) has a tangent at the point $(1,1)$ that intersects the x-axis at the x-coordinate $x_{n}$, find the value of $\log _{2016}x_{1}+\log _{2016}x_{2}+\log _{2016}x_{3}+\ldots+\log _{2016}x_{2015}$.

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