What is ln(2/(|e^{(-1))-e|}) ?

The solution to ln(2/(|e^{(-1))-e|}) is ln(2)-ln(-1/e+e)

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simplify ln(2/(|e^{(-1))-e|})

simplify

ln (\frac{2}{e ^{(- 1)} - e})

ln (2) - ln (- \frac{1}{e} + e)

Decimal Notation

- 0.16143 \dots

Solution steps

ln (\frac{2}{e ^{(- 1)} - e})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{2}{e ^{(- 1)} - e}) = ln (2) - ln e^{(- 1)} - e

= ln (2) - ln e^{- 1} - e

ln e^{- 1} - e = ln (- \frac{1}{e} + e)

= ln (2) - ln (e - \frac{1}{e})

19 x + ln (19) + ln (x)

4 ln (4 x + 8) + 3 ln (2 x + 7)

lo g_{10} (\frac{y}{10})

ln (\frac{( 1 + e ^{x} )}{( 1 - e ^{- x} )})

lo g_{10} (a) + 3 lo g_{10} (c) - 5 lo g_{10} (b)

What is ln(2/(|e^{(-1))-e|}) ?
The solution to ln(2/(|e^{(-1))-e|}) is ln(2)-ln(-1/e+e)