Module 4: Quiz
Exponential and Logarithmic Functions
Quiz Instructions
This quiz contains 15 multiple-choice questions covering all topics in Module 4. You need 70% (11 out of 15 correct) to pass. Select your answer for each question, then click "Submit Quiz" to see your results.
Question 1
Evaluate: 3-2
Question 2
Which function represents exponential decay?
Question 3
You invest $2,000 at 4% annual interest compounded quarterly. How much will you have after 5 years? Use A = P(1 + r/n)nt
Question 4
Evaluate: log₅(125)
Question 5
Expand using logarithm properties: log₂(8xy)
Question 6
Condense into a single logarithm: 2ln(x) - ln(y)
Question 7
Solve: 2x = 32
Question 8
Solve: log₃(x) = 4
Question 9
Solve using logarithms (round to 2 decimal places): 5x = 30
Question 10
Solve: ln(x) + ln(4) = ln(20)
Question 11
A population grows according to P(t) = 500e0.05t. What is the initial population?
Question 12
If a radioactive substance decays according to A(t) = 200e-0.02t, approximately how much remains after 30 years?
Question 13
What is the horizontal asymptote of f(x) = 3x + 2?
Question 14
The pH of a solution is 6.5. Find the hydrogen ion concentration [H+]. Use pH = -log[H+].
Question 15
Which of the following is equivalent to log_b(x3y2)?