Answer:
It will take 27 minutes.
Step-by-step explanation:
Let the exponential decay function is, , where a is the initial value and b is the rate of decay.
Now, 6 minutes is the half-life of the radioactive element.
So,
⇒
⇒ b = 0.891 (Approximate)
Now, if y = 35 grams and a = 790 grams, then we can write
⇒
Now, taking log in both sides, we get
log (0.044) = x log (0.891)
⇒ x = 27 minutes.
Therefore, it will take 27 minutes. (Answer)