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

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

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simplify 1/4 ln((sqrt(2)-1)/(sqrt(2)+1))

simplify

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

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

Decimal Notation

- 0.44068 \dots

Solution steps

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

4 lo g_{10} (x - 6) - 5 lo g_{10} (x)

3 (lo g_{2} (x) - 4 lo g_{2} (y)) + 2 lo g_{2} (w)

ln ∣ x + 1 ∣ - ln ∣ x + 2 ∣

ln (\frac{81 + 273}{22 + 273})

- lo g_{10} (2.85 \cdot 1 0^{12})

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