What is ln^3((1+x)/(1-e^{2x)}) ?

The solution to ln^3((1+x)/(1-e^{2x)}) is ln^3(1+x)-ln^3(1-e^{2x})

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simplify ln^3((1+x)/(1-e^{2x)})

simplify

ln^{3} (\frac{1 + x}{1 - e ^{2 x}})

ln^{3} (1 + x) - ln^{3} (1 - e^{2 x})

Solution steps

ln^{3} (\frac{1 + x}{1 - e ^{2 x}})

Apply log rule:

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

ln^{3} (\frac{1 + x}{1 - e ^{2 x}}) = ln^{3} (1 + x) - ln^{3} (1 - e^{2 x})

= ln^{3} (x + 1) - ln^{3} (- e^{2 x} + 1)

\frac{1}{2} ln (\frac{2}{u})

ln (\frac{125}{16}) - ln (2)

\frac{1}{24} ln (cos (3) x^{2}) + c

lo g_{a} (x^{3}) - lo g_{a} (x^{4}) + 2 lo g_{a} (x)

lo g_{10} (lo g_{10} (x^{4}) y)

What is ln^3((1+x)/(1-e^{2x)}) ?
The solution to ln^3((1+x)/(1-e^{2x)}) is ln^3(1+x)-ln^3(1-e^{2x})