What is 1/2 ln((sqrt(2)-1)/(sqrt(2)+1)) ?

The solution to 1/2 ln((sqrt(2)-1)/(sqrt(2)+1)) is 1/2 (ln(sqrt(2)-1)-ln(sqrt(2)+1))

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simplify 1/2 ln((sqrt(2)-1)/(sqrt(2)+1))

simplify

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

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

Decimal Notation

- 0.88137 \dots

Solution steps

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

Apply log rule:

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

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

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

ln (\frac{47}{50}) + (0.085) \cdot 0.054

\frac{2 ln ( 5 )}{ln ( 2 )} - 3

- 2 ln (\frac{10 - x}{10})

(\frac{a}{b}) - 2 ln (a^{3}) + 4 ln (b)

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

What is 1/2 ln((sqrt(2)-1)/(sqrt(2)+1)) ?
The solution to 1/2 ln((sqrt(2)-1)/(sqrt(2)+1)) is 1/2 (ln(sqrt(2)-1)-ln(sqrt(2)+1))