1. Which of the following is NOT exponential function
A) f(x)=e^x
B) f(x)=1^x
C) f(x)=2^x
D) f(x)=(0.5)^x

2. The logarithmic form of this exponential equation 2=5^(3x)
A) 2=log_3 x
B) 3^x=5
C) log_5 2 = 3x
D) 3x=e^2

3. Solve the equation e^(x-3)=1
A) x=1
B) x=3
C) x=0
D) x=e

4. Evaluate ln e^-3
A) 3
B) -3
C) e^-3
D) ln (-3)

5. Write the expression (2log_3x + log_3 5 - log_3 8 ) as a single logarithm
A) log_3 x^5-8
B) log_3 5x^2 -8
C) log_3 (5x^2 / 8)
D) log_3 (x^2 / 8)

6. Solve log (x-3)=2
A) x=103
B) x=5
C) x=1
D) x=-1

7. Evaluate log_2 0.5
A) 0
B) 1
C) -1
D) 0.5

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)=b^x represent exponential Growth
A) All b < 1
B) All b > 1
C) All b < 0
D) All values of b

10. The Asymptote line of the graph of f(x)=b^x is
A) It has No asymptotes
B) y-axis
C) Both x and y axis
D) x-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)=b^(x)?
A) Factor of Growth or Decay
B) Natural Base
C) Change Of Base Formula
D) y- intercept

13. A logarithm of base "e" is called
A) Natural logarithm
B) Natural exponential function
C) The common logarithm
D) Natural Base

14. A logarithm of base "10" is called
A) The common logarithm
B) Natural exponential function
C) Natural logarithm
D) Natural Base

15. "ln x" represents
A) The logarithm of base "1"
B) The logarithm of base "10"
C) The logarithm of base "e"
D) The logarithm of base "0"

16. "log x " represents
A) The logarithm of base "0"
B) The logarithm of base "e"
C) The logarithm of base "1"
D) The logarithm of base "10"

17. For what values of " b" will the function f(x)=b^x represent exponential Decay
A) All values of b
B) All b > 1
C) All b < 1
D) All b < 0

18. The exponential form of this logarithmic equation x=ln 2
A) 2=10^x
B) x=ln 2
C) 2=e^x
D) e=x^2

19. The exponential form of this logarithm equation 2=log x
A) x^2=10
B) x=10^2
C) x=2^10
D) 2=10^x

20. Evaluate e^(ln 3)
A) ln 3
B) 3
C) e^3
D) -3

21. Given that log_7 10 = 1.18, find log_7 1000
A) 1.64
B) 3.18
C) 7000
D) 3.54

22. Solve log_3 (x + 4) - log_3 (x - 2) = log_3 2
A) 6
B) 4
C) 2
D) 8

23. The y-intercept of the function y=log x is
A) -1
B) 1
C) It has no y-intercept
D) 0

24. The y-intercept of the function y=b^x is
A) 0
B) -1
C) 1
D) It has no y-intercept

25. Solve ln(2x-3) > 1
A) x>3
B) x > 1.5
C) x<2.859
D) x > 2.859