Respuesta :
False, The F(x) = Logb X is not a set of all real numbers since the domain can be other numbers
The statement that The domain of F(x) = [tex]Log_{b}[/tex](x) is the set of all negative real numbers must be False.
What is a logarithm?
The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.
In another word, a logarithm is a different way to denote any number.
Since logx is a function which only defined for x > 0 so the value of x should not be a negative value and should not be 0.
[tex]Log_{b}[/tex](x) = y ⇒ [tex]b^{y}[/tex] = x now b which is positive so any power of it can not make negative so means x should be positive.
So function F(x) = logb x is not defined in the domain of negative real number only positive x number.
For more about logarithm,
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