Answer:
About 11.299 hours.
Step-by-step explanation:
To solve this problem, you can set up an equation to model the decay of the medicine. Let's call the time that medicine has been in the body x.
[tex](1-0.0595)^x=0.5[/tex]
[tex]0.9405^x=0.5[/tex]
Taking the log x of both sides, you get
[tex]x=\log_{0.9405} 0.5[/tex]
[tex]x\approx 11.299[/tex] hours. Hope this helps!
