Domain Condition for Logarithmic Functions
For a logarithmic function y = log a f(x) (where a > 0, a eq 1 ), its domain requires the argument to be positive. Formula: x ∈ R f(x) > 0 Applicable Condition…
Syllabus path: Functions › Concepts and Properties of Functions › Domain of a Function
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CSCA Mathematics Formula Reference
Formula and explanation
For a logarithmic function y = log a f(x) (where a > 0, a eq 1 ), its domain requires the argument to be positive. Formula: x ∈ R f(x) > 0 Applicable Conditions: Base a > 0 and a eq 1. Brief Explanation: The argument of a logarithm must be positive, which is a fundamental requirement for logarithmic operations.
Related tutorial and examples
Domain of a Function
Domain of a Function 1. Concept The domain of a function is the set of all possible values for the independent variable x. It is one of the three essential elements of a function. Simply put, the domain consists of all real numbers x for which the function y = f(x) is defined (ma…
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