A 25 gram sample of a substance that's used for drug research has a k-value of 0.1205. Find the substance's half life in days, round to the nearest tenth.

Complete Question

Situation: A 25 gram sample of a substance used for drug research has a k-value of 0.1205.

Find the substance's half-life in days, round to the nearest tenth.

5.8 days

Step-by-step explanation:

The decay model for drugs and radioactive substances is given as

The half-life of any substance is the time it takes for the substance to decay to half its initial amount. That is the period it takes for:

If we substitute this into the model, we obtain:

We can solve for t.

Taking the natural logarithm of both sides

g(x) is the negative form of f(x)? because whenever its the negative form it reflects its self over the x axis. idk if this is right though.

step-by-step explanation: