Problem

Solve for $\mathrm{L}$ \[ e^{-0.171}=093 \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is $\mathrm{t}=$ (Type an integer or a decimal Do not round until the final answer. Then round to four decimal places as needed Use a comma to separate answers as needed B. The solution is not a real number.

Solution

Step 1 :The given equation is \(e^{-0.171} = 0.93\).

Step 2 :To solve for \(L\), we need to isolate \(L\) on one side of the equation. We can do this by taking the natural logarithm (ln) of both sides of the equation.

Step 3 :The natural logarithm of \(e^{-0.171}\) is \(-0.171\), and we can use a calculator to find the natural logarithm of 0.93.

Step 4 :Now we have the natural logarithm of 0.93, which is -0.07257069283483537. This is the value of \(L\).

Step 5 :Final Answer: The solution is \(L = \boxed{-0.07257069283483537}\).

From Solvely APP
Source: https://solvelyapp.com/problems/40753/

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