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

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

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

simplify

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

4 + 2 (ln (2 + 1) - ln (2 - 1))

Decimal Notation

6.49290 \dots

Solution steps

4 + 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)

= 4 + 2 (ln (1 + 2) - ln (2 - 1))

lo g_{8} (\frac{x ^{3} cos ( x )}{3 x + 1})

ln (\frac{e ^{8}}{5})

lo g_{10}^{- 1} (\frac{0.1}{20}) - 1

ln (4 e^{3} x)

ln (3 x^{4} y^{6})

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