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The Exponential and Logarithmic Function
  • 1. Which of the following is NOT exponential function
A) f(x)=2x
B) f(x)=ex
C) f(x)=1x
D) f(x)=(0.5)x
  • 2. The logarithmic form of this exponential equation 2=53x
A) 3x=5
B) 3x=e2
C) log5 2 = 3x
D) 2=log3 x
  • 3. Solve the equation ex-3=1
A) x=3
B) x=e
C) x=1
D) x=0
  • 4. Evaluate ln e-3
A) -3
B) 3
C) e-3
D) ln (-3)
  • 5. Write the expression (2log3x + log3 5 - log3 8 ) as a single logarithm
A) log3 (5x2 / 8)
B) log3 x5-8
C) log3 5x2 -8
D) log3 (x2 / 8)
  • 6. Solve log (x-3)=2
A) x=5
B) x=-1
C) x=1
D) x=103
  • 7. Evaluate log2 0.5
A) 0
B) 1
C) -1
D) 0.5
  • 8. Find log 47 to four decimal places
A) 1.6721
B) 1.6720
C) 1.6729
D) 1.6722
  • 9. For what values of b will the function f(x)=bx represent exponential Growth
A) All b < 0
B) All b > 1
C) All values of b
D) All b < 1
  • 10. The Asymptote line of the graph of f(x)=bx is
A) It has No asymptotes
B) Both x and y axis
C) x-axis
D) y-axis
  • 11. The range of f(x)=log x is
A) All real numbers
B) Only negative numbers
C) Only positive Numbers
D) y=10
  • 12. What does the "b" represent in the general form of an exponential function f(x)=bx?
A) Natural Base
B) y- intercept
C) Factor of Growth or Decay
D) Change Of Base Formula
  • 13. A logarithm of base "e" is called
A) Natural logarithm
B) The common logarithm
C) Natural exponential function
D) Natural Base
  • 14. A logarithm of base "10" is called
A) The common logarithm
B) Natural Base
C) Natural logarithm
D) Natural exponential function
  • 15. "ln x" represents
A) The logarithm of base "10"
B) The logarithm of base "1"
C) The logarithm of base "e"
D) The logarithm of base "0"
  • 16. "log x " represents
A) The logarithm of base "10"
B) The logarithm of base "e"
C) The logarithm of base "1"
D) The logarithm of base "0"
  • 17. For what values of " b" will the function f(x)=bx represent exponential Decay
A) All values of b
B) All b > 1
C) All b < 0
D) All b < 1
  • 18. The exponential form of this logarithmic equation x=ln 2
A) 2=ex
B) 2=10x
C) x=ln 2
D) e=x2
  • 19. The exponential form of this logarithm equation 2=log x
A) x=210
B) x2=10
C) x=102
D) 2=10x
  • 20. Evaluate eln 3
A) e3
B) ln 3
C) -3
D) 3
  • 21. Given that log7 10 = 1.18, find log7 1000
A) 3.54
B) 7000
C) 1.64
D) 3.18
  • 22. Solve log3 (x + 4) - log3 (x - 2) = log3 2
A) 2
B) 4
C) 8
D) 6
  • 23. The y-intercept of the function y=log x is
A) 0
B) -1
C) It has no y-intercept
D) 1
  • 24. The y-intercept of the function y=bx is
A) -1
B) 0
C) It has no y-intercept
D) 1
  • 25. Solve ln(2x-3) > 1
A) x > 2.859
B) x<2.859
C) x > 1.5
D) x>3
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