Solve for $t$.
\[
e^{t}=108
\]

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. $\mathrm{t}=\square$
(Type an integer or a decimal. Do not round until the final answer. Then round to three decim
B. The solution is not a real number.

Answer

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Answer

Final Answer: $t = \boxed{4.682}$

Steps

Step 1 ：Given the equation $e^{t}=108$.

Step 2 ：To solve for $t$, we take the natural logarithm of both sides.

Step 3 ：Applying the logarithm rule, we get $t = \ln(108)$.

Step 4 ：Using a calculator, we find that $t \approx 4.68213122712422$.

Step 5 ：Rounding to three decimal places, we get $t = 4.682$.

Step 6 ：Final Answer: $t = \boxed{4.682}$