Problem

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.

Solution

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: \(t = \boxed{4.682}\)

From Solvely APP
Source: https://solvelyapp.com/problems/Ff6weROacs/

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