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Popular >

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

Solution

simplify

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

Solution

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

+1

Decimal Notation

0.16143 \dots

Solution steps

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

Apply log rule:

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

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

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

Apply exponent rule:

a^{- 1} = \frac{1}{a}

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

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Frequently Asked Questions (FAQ)

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