Solve `(log)_(tanx)(2+4cos^2x)=2`

Explanation

To solve the equation \( \log_{\tan x}(2 + 4 \cos^2 x) = 2 \), we will follow these steps:

### Step 1: Rewrite the logarithmic equation
We start with the equation:
\[ \log_{\tan x}(2 + 4 \cos^2 x) = 2 \]
This implies that:
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