Here you go, i added a bit of explanation as to why i used the numbers to help you understand the method :)
Answer:
Step-by-step explanation:
Initial amount,
.
Final amount,
.
Time taken, t = 6:00 - 2:00 = 4 hour.
We know,

Therefore, the half-life of the isotope is 1.024 hours.
Hence, this is the required solution.