What is ln((2-sqrt(5))/(e^2+sqrt(e^4+1))) ?

The solution to ln((2-sqrt(5))/(e^2+sqrt(e^4+1))) is ln(2-sqrt(5))-ln(e^2+sqrt(e^4+1))

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simplify ln((2-sqrt(5))/(e^2+sqrt(e^4+1)))

simplify

ln (\frac{2 - 5}{e ^{2} + e ^{4} + 1})

ln (2 - 5) - ln (e^{2} + e^{4} + 1)

Solution steps

ln (\frac{2 - 5}{e ^{2} + e ^{4} + 1})

Apply log rule:

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

ln (\frac{2 - 5}{e ^{2} + e ^{4} + 1}) = ln (2 - 5) - ln (e^{2} + e^{4} + 1)

= ln (2 - 5) - ln (e^{2} + e^{4} + 1)

\frac{3}{4} (ln (2) - ln (\frac{3}{2}))

- lo g_{10} (1.0869565 \cdot 1 0^{- 12})

\frac{\partial}{\partial x} ((u) (ln (x) + ln (y)))

\frac{1}{3} ln (\frac{7}{6} + \frac{5}{2})

3 x^{2} y sin (5 x) - ln (4 y)

What is ln((2-sqrt(5))/(e^2+sqrt(e^4+1))) ?
The solution to ln((2-sqrt(5))/(e^2+sqrt(e^4+1))) is ln(2-sqrt(5))-ln(e^2+sqrt(e^4+1))