Logarithmic Functions Quiz (5 Questions)

1. What is the inverse of f(x) = 2ˣ?

2. Find f(8) if f(x) = log₂(x)

3. True or False: The domain of f(x) = log₃(x) is all real numbers

4. Sketch the graph of f(x) = log₂(x) (describe key points)

5. If f(x) = log₅(x), what is f(25)?

Answer Key

1. f⁻¹(x) = 2ˣ

2. f(8) = 3

3. False (domain: x > 0)

4. Passes through (1,0), (2,1), (4,2), increases as x increases

5. f(25) = 2