# Filling up holes in the sand

Discrete Mathematics Level 3

The function $$\log_{\cdot}(\cdot): \mathbb{Q}^{+} \times \mathbb{Q}^{+} \longrightarrow \mathbb{R}$$. While the codomain is the real numbers $$\mathbb{R}$$, can the image be $$\mathbb{R}$$?

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