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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)=(0.5)x
C) f(x)=ex
D) f(x)=2x
  • 2. The logarithmic form of this exponential equation 2=53x
A) 2=log3 x
B) 3x=e2
C) 3x=5
D) log5 2 = 3x
  • 3. Solve the equation ex-3=1
A) x=0
B) x=e
C) x=3
D) x=1
  • 4. Evaluate ln e-3
A) e-3
B) -3
C) 3
D) ln (-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) 1.6721
C) 1.6722
D) 1.6720
  • 9. For what values of b will the function f(x)=bx represent exponential Growth
A) All b < 1
B) All b > 1
C) All values of b
D) All b < 0
  • 10. The Asymptote line of the graph of f(x)=bx is
A) Both x and y axis
B) y-axis
C) x-axis
D) It has No asymptotes
  • 11. The range of f(x)=log x is
A) All real numbers
B) Only negative numbers
C) y=10
D) Only positive Numbers
  • 12. What does the "b" represent in the general form of an exponential function f(x)=bx?
A) Change Of Base Formula
B) Factor of Growth or Decay
C) y- intercept
D) Natural Base
  • 13. A logarithm of base "e" is called
A) Natural Base
B) The common logarithm
C) Natural logarithm
D) Natural exponential function
  • 14. A logarithm of base "10" is called
A) Natural exponential function
B) The common logarithm
C) Natural logarithm
D) Natural Base
  • 15. "ln x" represents
A) The logarithm of base "e"
B) The logarithm of base "1"
C) The logarithm of base "10"
D) The logarithm of base "0"
  • 16. "log x " represents
A) The logarithm of base "1"
B) The logarithm of base "0"
C) The logarithm of base "10"
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 b < 0
D) All values of b
  • 18. The exponential form of this logarithmic equation x=ln 2
A) x=ln 2
B) 2=ex
C) 2=10x
D) e=x2
  • 19. The exponential form of this logarithm equation 2=log x
A) x2=10
B) x=102
C) x=210
D) 2=10x
  • 20. Evaluate eln 3
A) -3
B) ln 3
C) e3
D) 3
  • 21. Given that log7 10 = 1.18, find log7 1000
A) 3.18
B) 7000
C) 1.64
D) 3.54
  • 22. Solve log3 (x + 4) - log3 (x - 2) = log3 2
A) 8
B) 2
C) 6
D) 4
  • 23. The y-intercept of the function y=log x is
A) 0
B) It has no y-intercept
C) 1
D) -1
  • 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 > 1.5
B) x > 2.859
C) x>3
D) x<2.859
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