Question

Which of the following is true?

Answer 1

The domain of the logarithmic function f(x) = log2x is all real numbers.
The range of the logarithmic function f(x) = log2x is all real numbers less than zero
A logarithmic function is the inverse of an exponential function.
The base of a logarithmic function can be a negative number.

Answer 2

"hints":
The domain of all log functions (to any base) cannot be negative.
The range of all log functions is all real.
The base of a log function cannot be negative.
The inverse of a log function is the exponential function.

Answer 3

*Hint*
Definition of
log_b(x) = y
is
x = b^(y)

Just say you had 10^(x) = y
you will notice that no matter what number you sub into x you will never get y = 0.

If you take the log of 10^(x) = y you are left with
log(y) = x

Thus you should realize that the domain of a logarithmic function can never be equal to zero

You should also notice that any number can be subbed into x in this equation. as anything to the power of 0 is equal to 1

Answer 4

So it's The domain of the logarithmic function f(x) = log2x is all real numbers.

Answer 5

The answer is IN the list of hints. Please read through all of them! :)

Answer 6

:)

Answer 7

A logarithmic function is the inverse of an exponential function?

Answer 8

Correct!