Find the Domain x natural log of 0.3=21

Problem

x*ln(0.3)=21

Solution

1. Identify the type of equation. This is a linear equation in terms of x where ln(0.3) is a constant coefficient.

2. Isolate the variable x by dividing both sides of the equation by the constant ln(0.3)

3. Determine the domain. Since the task asks for the domain of the expression or equation provided, we observe that the equation is defined for all real numbers x However, if the task implies solving for x we perform the division.

4. Evaluate the restriction. The natural log function ln(a) is defined for a>0 Since 0.3>0 the constant ln(0.3) is a well-defined real number.

5. Conclude that there are no values of x that make the expression undefined.

Final Answer

Domain=(−∞,∞)

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