Solve equations with e and natural logarithms
12th grade (Year 13 in England) · 16 questions · Common Core: HSF.LE.A.4 · England: A-level Pure Mathematics
Name
Date
Score/ 16
Question 1
A bacteria population is modelled by P = 800e^(0.1t), with t in hours. How long until it reaches 1600? Give 1 decimal place.
Answer
Question 2
Solve eˣ = 37. Give x to 3 decimal places.
Answer
Question 3
Solve ln x = 2.5. Give x to 2 decimal places.
Answer
Question 4
A bacteria population is modelled by P = 300e^(0.1t), with t in hours. How long until it reaches 600? Give 1 decimal place.
Answer
Question 5
Solve eˣ = 15. Give x to 3 decimal places.
Answer
Question 6
Solve ln x = 1.7. Give x to 2 decimal places.
Answer
Question 7
A bacteria population is modelled by P = 700e^(0.05t), with t in hours. How long until it reaches 1050? Give 1 decimal place.
Answer
Question 8
Solve eˣ = 41. Give x to 3 decimal places.
Answer
Question 9
Solve ln x = 1.8. Give x to 2 decimal places.
Answer
Question 10
A bacteria population is modelled by P = 500e^(0.1t), with t in hours. How long until it reaches 1500? Give 1 decimal place.
Answer
Question 11
Solve eˣ = 7. Give x to 3 decimal places.
Answer
Question 12
Solve ln x = 1.7. Give x to 2 decimal places.
Answer
Question 13
A bacteria population is modelled by P = 500e^(0.03t), with t in hours. How long until it reaches 1000? Give 1 decimal place.
Answer
Question 14
Solve eˣ = 3. Give x to 3 decimal places.
Answer
Question 15
Solve ln x = 3. Give x to 2 decimal places.
Answer
Question 16
A bacteria population is modelled by P = 1800e^(0.02t), with t in hours. How long until it reaches 3600? Give 1 decimal place.
Answer
Write your answers right on the page. · Free from eurekami.com