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

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

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

simplify

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

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

Decimal Notation

0.16143 \dots

Solution steps

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

Apply log rule:

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

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

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

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

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

9 \cdot ln (6) - ln (2!) + 7 \cdot ln (2) - ln (7!) - 3 \cdot 6

ln (\frac{0.69}{0.664})

\frac{5 ln x ^{2} - 9 - ln ∣ x + 3 ∣ + ln ∣ x - 3 ∣ 2}{2} + C

\frac{1}{2} ln (\frac{2240}{1800})

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

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