Quiz – Math 1, Unit 6, Section E

Cumulative Quiz: Unit 6, Section E – Exponential and Logarithmic Functions

  1. What is the base of the exponential function f(x) = 4 \cdot 3^x?
    1. 4
    2. 3
    3. 12
    4. 7
  2. What is the value of \log_{10}(1000)?
    1. 1
    2. 2
    3. 3
    4. 4
  3. Solve the exponential equation: 2^x = 32.
    1. 4
    2. 5
    3. 6
    4. 7
  4. What is the inverse function of f(x) = e^x?
    1. \log(x)
    2. \ln(x)
    3. \log_{10}(x)
    4. \frac{1}{x}
  5. Solve the logarithmic equation: \log_2(x) = 5.
    1. 10
    2. 16
    3. 32
    4. 64
  6. What is the simplified form of \log_b(b^7)?
    1. 1
    2. 0
    3. b
    4. 7
  7. Which of the following represents exponential decay?
    1. f(x) = 3 \cdot 2^x
    2. f(x) = 4^x
    3. f(x) = 7^x
    4. f(x) = 5 \cdot 0.5^x
  8. What is the result of \ln(e^4)?
    1. 4
    2. 1
    3. 16
    4. e
  9. Which property of logarithms states \log_b(xy) = \log_b(x) + \log_b(y)?
    1. Product Property
    2. Quotient Property
    3. Power Property
    4. Change of Base Formula
  10. Which online tool is best for visualizing the graph of f(x) = 2^x?
    1. Desmos Graphing Calculator
    2. GeoGebra
    3. Wolfram Alpha
    4. Google Calculator