P http wwmathod.com/Student/playerTest aspaltestlds1AT739593 MATH 130 WS2 ONLINE

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P http wwmathod.com/Student/playerTest aspaltestlds1AT739593 MATH 130 WS2 ONLINE FALL 2016 SEI Quiz: Quiz 8 (Sections 3.4 & 3.5) This Question: 1 pt 7 of 12 (9 complete) v Solve the exponential equation. Express the soluton set in terms of natural ogarthms Then use a calculator to obtain a decim 6 24,512 What is the solution in terms of natural logarithms? The solution set is (Use a comma to separate answers as needed. Simplity your answer use integers or fractions for any numbers in the expressio What is the decimal approximation for the solution? The solution set is use a comma to separate answers as needed Round to two decimal places as needed) Enter your answer in each of the answer boxes

Explanation / Answer

We have e(5x-9) -6 = 24512 or, e(5x-9) = 24512+6 or, e(5x-9) = 24518. Then, on taking natural logarithms of both the sides, we get (5x-9)ln e = ln 24518 or, 5x-9 = ln 24518(as log ab = b log a and ln e = 1)

or, 5x = 9+ln 24518 so that x = 9/5 + 1/5( ln 24518).Thus the solution set is x = 9/5 + ln 24518.

Since ln 24518 = 10.10716282 and 9/5 = 1.8, the decimal approximation of the solution is 1.8+10.11 = 11.91.

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