f(x) = 40(0.8^x)
So now just solve
40(0.8^x) = 1
0.8^x = 1/40
x = -log40/log0.8
That will be the number of hours. Just change that to clock time.
The function f(x) = 40(.8)x gives the amount of a medication in milligrams present in a patient’s system x hours after taking a 40mg dose. A patient can go back to work if he or she has less than 1 mg left in his system. The patient takes the medication at 8pm on Monday night. Explain when he can go back to work. Justify your answer by showing all the work.
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