Find Where Undefined/Discontinuous log base 5 of x
Problem
Solution
Identify the domain of the logarithmic function. The argument of a logarithm must be strictly greater than zero for the function to be defined in the set of real numbers.
Set up the inequality for the argument of the function. In this case, the argument is
x
Determine the values where the function is undefined. The function is undefined for all values of
x that do not satisfy the domain condition.
Identify points of discontinuity. Since the function is continuous on its entire domain
(0,∞) it is discontinuous or undefined for allx in the interval(−∞,0]
Final Answer
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