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Exponentials and Logarithms Gateway

 1. 

The expression mc001-1.jpg is equivalent to
A)
mc001-3.jpg
B)
mc001-4.jpg
C)
mc001-5.jpg
D)
mc001-6.jpg
 

 2. 

What is the logarithmic equivalent of mc002-1.jpg?
A)
mc002-4.jpg
B)
mc002-5.jpg
C)
mc002-6.jpg
D)
mc002-7.jpg
 

 3. 

Which is equivalent to mc003-1.jpg?
A)
36
B)
216
C)
108
D)
7776
 

 4. 

If q mc004-1.jpg 0, mc004-2.jpg =
A)
mc004-4.jpg
B)
mc004-5.jpg
C)
mc004-6.jpg
D)
mc004-7.jpg
 

 5. 

Which is equivalent to the following expression?                   mc005-1.jpg
A)
mc005-2.jpg
B)
mc005-3.jpg
C)
mc005-4.jpg
D)
mc005-5.jpg
 

 6. 

Which statement about the graph of the equation mc006-1.jpg  is not true?
A)
The domain is the set of all real numbers
C)
It passes through the point (1,e)
B)
It lies in Quadrants I and II
D)
It is asymptotic to the y-axis
 

 7. 

When simplified, mc007-1.jpg equals ---
A)
mc007-5.jpg
B)
mc007-6.jpg
C)
mc007-7.jpg
D)
mc007-8.jpg
 

 8. 

Simplify the expression:  mc008-1.jpg
A)
mc008-3.jpg
B)
mc008-4.jpg
C)
mc008-5.jpg
D)
mc008-6.jpg
 

 9. 

Which of the following is equivalent to mc009-1.jpg?
A)
mc009-2.jpg
B)
mc009-3.jpg
C)
xy
D)
x7y7
 

 10. 

What is the following product?            mc010-1.jpg
A)
mc010-3.jpg
B)
mc010-4.jpg
C)
mc010-5.jpg
D)
mc010-6.jpg
 

 11. 

Simplify the expression: mc011-1.jpg ?
A)
e
B)
1
C)
0
D)
Does not exist
 

 12. 

Simplify the expression: mc012-1.jpg ?
A)
1
B)
9
C)
0
D)
Does not exist
 

 13. 

If mc013-1.jpg, which of the following is true?
A)
mc013-4.jpg
B)
mc013-5.jpg
C)
mc013-6.jpg
D)
mc013-7.jpg
 

 14. 

Which is equivalent to the expression shown ?                  mc014-1.jpg
A)
–56
B)
mc014-7.jpg
C)
mc014-8.jpg
D)
mc014-9.jpg
 

 15. 

Malak leaves a cup of tea on the counter in his kitchen.  Which graph is the best representation of the change in temperature of his tea over time?
A)
mc015-1.jpg
C)
mc015-3.jpg
B)
mc015-2.jpg
D)
mc015-4.jpg
 

 16. 

Simplify the expression:  mc016-1.jpg ?
A)
mc016-3.jpg
B)
mc016-4.jpg
C)
mc016-5.jpg
D)
mc016-6.jpg
 

 17. 

Simplify the expression:  mc017-1.jpg
A)
mc017-3.jpg
B)
mc017-4.jpg
C)
mc017-5.jpg
D)
mc017-6.jpg
 

 18. 

If x mc018-1.jpg 0, which expression is equivalent to mc018-2.jpg?
A)
mc018-4.jpg
B)
mc018-5.jpg
C)
mc018-6.jpg
D)
mc018-7.jpg
 

 19. 

What is the value of the expression mc019-1.jpg if x = 9, y = 3, and z = 6?
A)
5.5
B)
122.5
C)
123
D)
729
 

 20. 

If y mc020-1.jpg 0, which expression is equivalent to the one shown?                 mc020-2.jpg
A)
mc020-6.jpg
B)
mc020-7.jpg
C)
mc020-8.jpg
D)
mc020-9.jpg
 

 21. 

The number of cells in a bacteria culture doubles every hour.  If there are 500 bacteria cells in the culture to start with, how many hours will it take to have 50,000 cells in the culture?
A)
1.70
B)
2.35
C)
6.64
D)
9.97
 

 22. 

Which is not an equivalent form of the following expression:   mc022-1.jpg ?
A)
mc022-3.jpg
B)
mc022-4.jpg
C)
mc022-5.jpg
D)
mc022-6.jpg
 

 23. 

Find the equivalent exponential form for: g = mc023-1.jpg ?
A)
mc023-2.jpg
B)
mc023-3.jpg
C)
mc023-4.jpg
D)
mc023-5.jpg
 

 24. 

If mc024-1.jpg, mc024-2.jpg=
A)
mc024-6.jpg
B)
1
C)
0
D)
8
 

 25. 

mc025-1.jpg is equivalent to --
A)
mc025-3.jpg
C)
mc025-5.jpg
B)
mc025-4.jpg
D)
mc025-6.jpg
 



 
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