Question

Which of the following is true about the base b of a logarithmic function?
b > 0 and b = 1
b > 0 and b =/ 1
b < 0 and b =/1
b < 0 and b = 1

Answer 1

The base b of a logarithmic function should be greater than zero and not equal to 1. Therefore, the first and second choice is the only ones left possible:

b> 0 and b = 1
b > 0 and b=/ 1

but it was stated earlier that the value of b should not be equal to 1, therefore, the answer is

b > 0 and b =/ 1

Answer 2

b is the base of the logarithmic function and hence, option (B) qualifies the two statements. Thus, option (B) is the correct option.

Four statements are given related to the base of a logarithmic function.

The following are the mandatory points for the base of the logarithmic function:

• If the base of the logarithmic function is a non-positive number then it is not a real number. Thus, the base of the logarithmic function is always greater than zero.

• The base of the logarithmic function can never take the value 1, hence it is not a function on the base value that is equal to the 1.

Now, based on these two statements, let us check the four options and conclude our answer.

b is the base of the logarithmic function and hence, option (B) qualifies the above two statements. Thus, option (B) is the correct option.

To know more about the logarithmic, please refer to the link:

https://brainly.com/question/20838017