Find the Domain x=- log of 0.1

Problem

x=−(log_)(0.1)

Solution

1. Identify the type of expression provided. The task asks for the domain of the expression x=−(log_)(0.1)

2. Analyze the components of the expression. The expression is a constant value because 0.1 is a specific numerical constant.

3. Determine the domain. In the context of a constant value or a point, the domain refers to the set of possible input values for which the expression is defined.

4. Evaluate the logarithmic condition. The function (log_)(u) is defined for all u>0 Since 0.1>0 the expression is defined.

5. Conclude the domain. Since there are no variables (like y or t that x depends on, x is a single real number. If this is interpreted as a constant function ƒ(y)=−(log_)(0.1) the domain is all real numbers. However, as a standalone numerical statement, it is defined for its specific constant input.

Final Answer

Domain: *(−∞,∞)

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