What is 1/12 ln((2x-3)/(2x+3)) ?

The solution to 1/12 ln((2x-3)/(2x+3)) is 1/12 (ln(2x-3)-ln(2x+3))

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simplify 1/12 ln((2x-3)/(2x+3))

simplify

\frac{1}{12} ln (\frac{2 x - 3}{2 x + 3})

\frac{1}{12} (ln (2 x - 3) - ln (2 x + 3))

Solution steps

\frac{1}{12} ln (\frac{2 x - 3}{2 x + 3})

Apply log rule:

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

ln (\frac{2 x - 3}{2 x + 3}) = ln (2 x - 3) - ln (2 x + 3)

= \frac{1}{12} (ln (2 x - 3) - ln (2 x + 3))

\frac{25}{8} ln (\frac{5}{4})

\frac{( ln \frac{y}{x} + 4 - 6 ln ( \frac{y}{x} - 1 ) )}{5}

ln (\frac{1}{n - 1})

\frac{1}{4} x^{2} (2 ln^{2} (3 x) - 2 ln (3 x) + 1)

ln (2 + x) - ln (2)

What is 1/12 ln((2x-3)/(2x+3)) ?
The solution to 1/12 ln((2x-3)/(2x+3)) is 1/12 (ln(2x-3)-ln(2x+3))