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Logarithms
Case
Application of Logarithms
• Calculating frequency at which a patient
needs to take a dose of this drug
m=Ae-kt
Amount of
medicine left in
body constants
Time since
last dosage
Calculator
value of e
Application of Logarithms
• Equation converted to logarithmic form
lnm = -kt + lnA
In the form of y=mx+c
Can plot graph
Data
t (hours) m (mg)
0 200
2 127
4 79
6 50
10 20
30mg<m<300mg
Questions
• There shouldnot be more than 300mg of the
drug in the body, beyond which the drug
becomes toxic. Is it advisable to take another
dose after 2.5 hours? (assuming 1 dosage is
200mg)
NO, amount of
medicine left +200->
more than 300mg
m=Ae-kt
A = 200
K = 0.227
Questions
• Estimate amount of drug left in patient’s body
after 8 hours
m=Ae-kt
A = 200
K = 0.227
Ans:32.5m
g
Conclusion
1 dosage to be taken every 6 hours, if not you’ll
die of drug overdose
•Thanks

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Group 5: Logarithms (healthcare)

Editor's Notes

  1. Calculate frequency.........blah blah We have an equation. M is .... 3 constants: e whose value is specified by calculator, as well as A and k whose values can be worked out. T is.....
  2. With this equation, we can then calculate the time at which the amount of medicine left is suitable for another dosage to be taken. This prevents drug overdose.