Find the Domain natural log of 15=x

Problem

ln(15)=x

Solution

1. Identify the nature of the task. The expression ln(15)=x is a logarithmic equation where x is the value of the natural logarithm of a constant.

2. Determine the domain of the natural logarithm function ln(u) The domain of any logarithmic function is the set of all values for which the argument u is strictly greater than zero (u>0.

3. Evaluate the argument in the given equation. The argument is 15

4. Check the condition for the domain. Since 15>0 the expression ln(15) is defined and represents a single real number.

5. Conclude the domain of the variable x in this specific equation. Because x is set equal to a constant value, x is a single point. However, if the task refers to the domain of the function ƒ(x)=ln(x) evaluated at 15 the domain of the natural log function is all positive real numbers.

Final Answer

Domain:(0,∞)

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