SOLUTION: NATURAL LOGARITHMS: ln (1/e)= -1 -----why? i've looked through my book and it lists the natural logarithms properties but i can't find why ln (1/e)= -1 ... right of the bat, i

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: NATURAL LOGARITHMS: ln (1/e)= -1 -----why? i've looked through my book and it lists the natural logarithms properties but i can't find why ln (1/e)= -1 ... right of the bat, i       Log On


   

Question 525473: NATURAL LOGARITHMS: ln (1/e)= -1 -----why?
i've looked through my book and it lists the natural logarithms properties but i can't find why ln (1/e)= -1 ... right of the bat, i went "oh, -1", but i can't find a logical step-by-step process to explain why the answer is -1... any help?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
ln (1/e)


ln (1) - ln(e) .... Using the idea that ln(x/y) = ln(x)-ln(y)


0 - ln(e) ... Since ln(1) = 0


-ln(e)


-(1) .... because ln(e) = 1 by definition


-1


So ln(1/e) = -1