What is ln((e^x-e^{-x})/(e^x+e^{-x)}) ?

The solution to ln((e^x-e^{-x})/(e^x+e^{-x)}) is ln(e^x-e^{-x})-ln(e^x+e^{-x})

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simplify ln((e^x-e^{-x})/(e^x+e^{-x)})

simplify

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

ln (e^{x} - e^{- x}) - ln (e^{x} + e^{- x})

Solution steps

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

Apply log rule:

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

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

= ln (e^{x} - e^{- x}) - ln (e^{x} + e^{- x})

lo g_{4} (2) + 2 lo g_{4} (5)

ln (\frac{s ^{2} + 1}{( s - 1 ) ^{2}})

ln (9) + ln (x) + ln (y)

lo g_{10} (2 x + 7) - lo g_{10} (x)

ln (x) + ln (x + 2)

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