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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

\frac{1}{3} ln (6 x^{2}) + ln (3 x)

5 ln (\frac{H - 5}{H + 3})

\frac{1}{2} ln (\frac{0.7}{0.3})

ln (0.66666666 x^{1.5})

ln (\frac{15}{11})

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