Find the Domain

Problem

x=ln(3.14)/(6+ln(3.14))

Solution

1. Identify the nature of the expression. The given expression is a constant value because it contains only fixed numbers and no variables.

2. Analyze the denominator for potential restrictions. For a real number to be defined in a fraction, the denominator must not equal zero.

3. Evaluate the denominator 6+ln(3.14) Since 3.14>0 the natural logarithm ln(3.14) is a defined real number.

4. Check for zero in the denominator. Since ln(3.14)≈1.144 the denominator 6+1.144≠0

5. Determine the domain. Because the expression is a constant and the denominator is non-zero, the value of x is a single defined point. In the context of a function ƒ(x) where x is the independent variable, the domain would be all real numbers; however, as a specific value for x it is simply a defined real constant.

Final Answer

x=ln(3.14)/(6+ln(3.14))

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