How do you simplify $ln(1/e)$ ?

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Answer 1 · 2018-03-02T13:38:48

$-1$

Division rule of logarithms states that:

$ln(x/y) = ln(x) - ln(y)$

Here we can substitute:

$ln(1/e)=ln(1) - ln(e)$

1) Anything to the power $0=1$

2) $ln(e)=1$ , as the base of natural logarithms is always $e$

Here, we can simplify:

$ln(1)=0$
$ln(e)=1$

Thus:

$ln(1)-ln(e)=0-1$

$=-1$

Thus, we have our answer

How do you simplify ln(1/e) ln(1/e) ?