Question

The domain of F(x) = logb x is the set of all positive real numbers.
a.true
b.false

Answer 1

True

Explanation:

Domain is the set of x values for which the function is defined.

The given logarithm function is
`F(x)=\log_bx`

Now, we know that logarithm function is defined for those x values which are greater than zero.

Hence, the domain of the given equation is x >0

The base b should be greater than 0 except 1.

Therefore, the given function is not defined for negative values of x and at x =0.

Hence, we can conclude that the domain is the set of all positive real numbers.

The given statement is true.