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Popular >

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

Solution

simplify

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

Solution

ln (1 - e^{- u}) - ln (u)

Solution steps

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

Apply log rule:

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

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

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

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Frequently Asked Questions (FAQ)

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