# Developing computational capacity for students in teaching exponential functions, exponential functions and logarithmic functions in calculus 12 high school - 17

productivity in that quarter).

A. 51 B . 54 C. 17 D. 18

Question 8: Function

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A.D ​​R _

y log x

whose domain is:

B.

3

D R0

C . D 0; D. D  ;0

Question 9: Give the equation: log

xlog 25 . Choose the correct answer:

2 x 2

A. There are two solutions of opposite sign. B. There are 2 negative solutions.

C. Invalid. D . There are two positive solutions.

Question 10: Number of solutions of the log equation

x 5log ( x 2 25)1 is ?

2 x 5 2

A. 3 B . 1 C. 0 D. 2

Question 11: Maximum value of the function

y ln x

x

above

1; e 2 is:

A. 0 B. 2

e 2

C. 0 D. 1

e

Question 12: Function

y 5 x

whose domain is:

A. D R 5

B . D R

C. D  ;5

D. D5; 

Question 13: Derivative of a function

y l o g x

To be:

A. 1

B. 1

C. x D. ln10

x ln10 x ln10 x

Question 14: The log equation 2 (3 x 8) 4 has the solution:

A. _ 8 B. 9 C. 7 D. 6

Question 15: Second derivative of a function

y e 2 x 1

at x = 1 is:

A. _ 4 e B. 3 e C. e D. 2 e

Question 16: Let log a x 2, log b x 3, log c x 4 .

5

abc

Calculate the value of the expression: log 2 x

A. 12 13

B. 1 9

C. 6 13

D. 24

7

1x 1

7

Question 17: Which of the following numbers is the solution of the inequality  

 

49 :

2

A. 1 B.

8

C. 10

3

D. 1 4

Question 18: The solution of equation 5 3 x 6 1 is:

A. 3 B. 4 C . 2 D. 1

2

1 4x 15x 13

Question 19: Solution set of inequality  

2

2 3x 4

To be:

A. S   B .

S

3

C. S D.

S3 ; 

2

2

 

Question 20: Maximum value of the function

 

y x 2 . e 2 equals:

A. 4

e

B. 2

CD 4

e

4 e 2

e

Question 21: Solution set of inequalities

2 log 3 4 x 3 log 1 2 x 3 2 is

3

A.3 ;3

B.3 ; 

C.3 ;3

D.3 ; 

4

4

  4

4

   

Question 22: Which function below is inverse on its domain?

3

A. y = log x B . y = log e x

C. y = log 2 x D. y = log x

Question 23: Which function below is uniform in its domain?

3

x

A. y =2

 

B. y =e

x

 

C . y = 2 x

D. y =0.5x

Question 24: Sum of the solutions of the equation:

4 x 1 16 x 2 is:

A. 60 121

B. 13 24

C. 1 2

D. 51 100

Question 25: Function

y x 2

whose domain is:

A. D  ;0

B.D R _

DIE

D0; 

D . D R 0