Question 374248
The logarithmic equation can be reduced to {{{x^2 + x - e^2 = 0}}}.  Using the quadratic formula, we get{{{x = (-1 +- sqrt( 1+4e^2 ))/2 }}}.  Only the value {{{x = (-1 +sqrt( 1+4e^2 ))/2 }}} will satisfy the original equation, and so this is the final answer.  And that my STUDENT, is how it's done...