Answer:
Domain = ( 5/4 , ∞)
Explanations:
The logarithm function is given as:
y = ln (4x - 5)
the domain of the functions is a set of all the values of x that makes the function true (defined)
Note that the natural logarithm of a negative number is undefined. This means that the natural logarithm (ln) is only defined for positive numbers
This means that in y = ln (4x - 5), 4x -5 has to be greater than zero for the function to be defined.
Set 4x - 5 > 0
4x > 5
x > 5 / 4
Therefore, the domain of the function is a set of values greater than 5/4
Domain = ( 5/4 , ∞)
