Solve the equation to four decimal places. \[ e^{x}=4.736 \] The solution is $x \approx$ (Round to four decimal places.)

Step 1 ：The given equation is \(e^{x}=4.736\).

Step 2 ：To solve for x, we take the natural logarithm (ln) of both sides. The natural logarithm of \(e^{x}\) is x.

Step 3 ：So, we have \(x = ln(4.736)\).

Step 4 ：Using a calculator, we find that \(x \approx 1.5551928975817044\).

Step 5 ：Rounding to four decimal places, we get \(x \approx 1.5552\).

Step 6 ：Final Answer: The solution to the equation is \(\boxed{1.5552}\).