Solve the equation to four decimal places.
\[
e^{x}=4.736
\]

The solution is $x \approx$ (Round to four decimal places.)

Answer

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Answer

Final Answer: The solution to the equation is $\boxed{1.5552}$.

Steps

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 $\boxed{1.5552}$.