The rate of disintegration of a radioactive element at any time is proportional to its mass at that time, where $k (k > 0)$ is the constant of proportionality. The time during which an original mass of $1.5 \text{ gm}$ will disintegrate to a mass of $0.5 \text{ gm}$ is ...
- A$k \log 3$
- B$\frac{1}{k} \log 3$
- C$k \log 5$
- D$\frac{1}{k} \log 5$
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