Radioactive decay formula

The formula for radioactive decay over time is N = N0eλt . The formula for how many number of atoms counted by the Geiger as distance (x) changes is C = k/x2. How can I merge these formulas to give one that accounts for distance and time? Secondly, how does the second formula work realistically given that C would tend to infinity as x decreases?
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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