Answer:
The range of F(x) = logbx is the set of all positive real numbers is TRUE
Step-by-step explanation:
Given:
A function which logarithmic i.e F(x)=logbX=logx/logb with base 10
To Find;
Range belongs to All set are positive real numbers.
Solution:
The domain is function for which all set of inputs are defined and range for function is that set of all output that functions takes.
So Simple logarithmic function y=logbX is
[tex]X=b^y[/tex]
So The functions has domain of all real values and range set of all real number.
In general the function F(x) = logbx where X>0 and b≠1 is continuous and one to one function.
logarithmic function is not defined for negative numbers or for zero.
And Also function approaches y-axis as x-tends to infinity but never touches the it.
Hence the Given statement is true
