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.
\[
e^{x}=20.96
\]
The solution set expressed in terms of logarithms is $\{\square\}$. (Use a comma to separate answers as needed. Simplify your answer. Use integers or decimals for any numbers in the
Answer
\(\boxed{x \approx 3.0426158594528414}\) is the solution to the equation.
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.
