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

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

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

simplify

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

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

Decimal Notation

- 0.62322 \dots

Solution steps

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

\frac{1}{2 2} = \frac{2}{4}

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

\frac{y}{x ( ln ( x ) - ln ( y ) - 1 )}

\frac{ln ( 8.5 ) - ln ( 5.1 )}{0.6}

- lo g_{2} (\frac{1}{100})

ln (y θ^{(k + 1)} \cdot x)

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

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