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
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Score/ 16
Question 1
Solve ln x = 1.9. Give x to 2 decimal places.
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Question 2
Solve eˣ = 42. Give x to 3 decimal places.
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Question 3
A bacteria population is modelled by P = 1100e^(0.08t), with t in hours. How long until it reaches 1650? Give 1 decimal place.
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Question 4
Solve ln x = 2.3. Give x to 2 decimal places.
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Question 5
Solve eˣ = 11. Give x to 3 decimal places.
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Question 6
A bacteria population is modelled by P = 800e^(0.04t), with t in hours. How long until it reaches 1200? Give 1 decimal place.
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Question 7
Solve ln x = 2.4. Give x to 2 decimal places.
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Question 8
Solve eˣ = 18. Give x to 3 decimal places.
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Question 9
A bacteria population is modelled by P = 1800e^(0.04t), with t in hours. How long until it reaches 3600? Give 1 decimal place.
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Question 10
Solve ln x = 1.1. Give x to 2 decimal places.
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Question 11
Solve eˣ = 19. Give x to 3 decimal places.
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Question 12
A bacteria population is modelled by P = 1500e^(0.1t), with t in hours. How long until it reaches 4500? Give 1 decimal place.
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Question 13
Solve ln x = 2.3. Give x to 2 decimal places.
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Question 14
Solve eˣ = 3. Give x to 3 decimal places.
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Question 15
A bacteria population is modelled by P = 1500e^(0.1t), with t in hours. How long until it reaches 3000? Give 1 decimal place.
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Question 16
Solve ln x = 2.2. Give x to 2 decimal places.
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