Mark M. answered 02/22/24
Retired math prof. Very extensive Precalculus tutoring experience.
ex - 6 / ex = 1
Multiply by ex: (ex)2 - 6 = ex
(ex)2 - ex - 6 = 0
(ex - 3)(ex + 2) = 0
ex = 3 or ex = -2
Since ex is always positive, the equation ex = -2 has no solution.
So, ex = 3. x = ln3