When finding percentiles with the Exponential Distribution, it is sometimes necessary to solve for k in equations such as: 7 1 - e- 0.44 . k = 0.7 This problem leads you step by step through that process. First, subtract 1 from both sides of the equation. This gives you: - e -0.44 . k Next, multiply both sides by - 1. This gives you: king Online e - 0.44 . k rive Now you use the fact that the natural logarithm (In) function kind of "undoes" the e function. $5 In other words, In (e 0.44 . k) = - 0.44 . k. iscover So, you take the natural logarithm (In) of both sides. This gives you: Exam Proctor -0.44 . k = In(0.3) Net To evaluate In(0.3), on a calculator use the LN button (TI) or In button (ClassCalc). This gives you (rounded to 4 decimals): k Zoom -0.44 . k = Finally, divide both sides by - 0.44 to get your answer (rounded to 4 decimals): k = Submit