# Logarithms and Trigonometric Functions

Geometry Level 3

It is known that $$\sin x$$ and $$\cos x$$ are both positive but are not equal. If $$\log_{\sin x} \cot^2 x + \log_{\cos x} {\tan x}=0$$, find the value of $$\cos^4 x + \cos^2 x +1$$.

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