# Minimum value?

**Algebra**Level 4

If \(\log_4 (x+2y)+ \log_4 (x-2y) = 1\), and the minimum value of \(|x|-|y|\) is \(k\), then find \(\lceil k \rceil\).

**Notation**: \( \lceil \cdot \rceil \) denotes the ceiling function.

If \(\log_4 (x+2y)+ \log_4 (x-2y) = 1\), and the minimum value of \(|x|-|y|\) is \(k\), then find \(\lceil k \rceil\).

**Notation**: \( \lceil \cdot \rceil \) denotes the ceiling function.

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