A radioactive element decays to `1//32th` of its initial activity in 25 decay. Calculate its half life.

Explanation

To solve the problem of finding the half-life of a radioactive element that decays to \( \frac{1}{32} \) of its initial activity in 25 days, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Decay**:
We start with an initial quantity \( N_0 \) of the radioactive element. After 25 days, the remaining quantity \( N \) is given by:
\[
N = \frac{1}{32} N_0
...