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

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) (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
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