Step 1 :Solve the exponential equation. Express the solution in terms of natural logarithms or common logarithms. Then, use a calculator to obtain a decimal approximation for the solution.
Step 2 :The equation is \(e^{x}=20.96\).
Step 3 :To solve for \(x\), we take the natural logarithm of both sides of the equation.
Step 4 :This gives us \(x = \ln(20.96)\).
Step 5 :Using a calculator, we find that \(x \approx 3.0426158594528414\).
Step 6 :\(\boxed{x \approx 3.0426158594528414}\) is the solution to the equation.