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

C . D   0;   D. D    ;0 

Question 9: Give the equation: log

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  5  log ( x 2  25)  1 is ?

2 x  5 2

A. D  R  5 

B . D  R

C. D    ;5 

D. D   5;  

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

 1  x  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.

S   3 ;  

 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