SOLUTION: Solve the logarithmic equation algebraically. Approximate the result to three decimal places. (If there is no solution, enter NO SOLUTION.) ln x + ln(x + 1) = 2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve the logarithmic equation algebraically. Approximate the result to three decimal places. (If there is no solution, enter NO SOLUTION.) ln x + ln(x + 1) = 2      Log On


   

Question 374248: Solve the logarithmic equation algebraically. Approximate the result to three decimal places. (If there is no solution, enter NO SOLUTION.) ln x + ln(x + 1) = 2
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The logarithmic equation can be reduced to x%5E2+%2B+x+-+e%5E2+=+0. Using the quadratic formula, we getx+=+%28-1+%2B-+sqrt%28+1%2B4e%5E2+%29%29%2F2+. Only the value x+=+%28-1+%2Bsqrt%28+1%2B4e%5E2+%29%29%2F2+ will satisfy the original equation, and so this is the final answer. And that my STUDENT, is how it's done...