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