bluskii bluskii
  • 23-05-2017
  • Mathematics
contestada

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

Respuesta :

SociometricStar
SociometricStar SociometricStar
  • 02-04-2019

Answer:

True

Step-by-step explanation:

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

The given logarithm function is [tex]F(x)=\log_bx[/tex]

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.

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