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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

4 [ln (x) - ln (x + 9) - ln (x - 9)]

ln (\frac{( x - 2 ) ^{5}}{( x + 1 ) ^{3}})

4 lo g_{10} (x) - \frac{1}{3} (x^{2} + 1) + 2 lo g_{10} (x - 1)

6 ln (\frac{5}{2}) - \frac{9}{5}

lo g_{9} (\frac{1}{6})

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