Find the Domain e^y=4

Problem

ey=4

Solution

1. Identify the goal, which is to find the domain of the variable y that satisfies the given equation.

2. Apply the natural logarithm to both sides of the equation to isolate y

ln(ey)=ln(4)

3. Simplify the left side using the property ln(ex)=x

y=ln(4)

4. Determine the domain. Since the equation results in a single constant value for y and the original expression ey is defined for all real numbers, the domain of the variable y in the context of this specific equation is the set containing that single value.

Final Answer

y=ln(4)

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