Questions: Solve the equation. ln e^x = 8 The solution set is . (Type an integer or a simplified fraction. Use a comma to separate answers as needed.)

Solution Steps

To solve the equation \(\ln e^{x} = 8\), we can use the property of logarithms that states \(\ln e^{x} = x\). Therefore, the equation simplifies to \(x = 8\).

We start with the equation: \[ \ln e^{x} = 8 \] Using the property of logarithms, we know that: \[ \ln e^{x} = x \] Thus, we can rewrite the equation as: \[ x = 8 \]

The solution set for the equation is: \[ \{ 8 \} \]

Final Answer