A drug is eliminated from the body through urine. Suppose that for a dose of 10 milligrams, the amount A(t) remaining in the body t hours later is given by

A(t) = 10(0.7)^t and that in order for the drug to be effective, at least 2 milligrams must be in the body.

1 answer

ok. Now what?
I assume you want to know how long it will take to drop to the 2mg level.
So, just solve
10 * 0.7^t = 2
0.7^t = 0.2
now just take the last step.