What is simplify-ln((1-a)/a) ?

The solution to simplify-ln((1-a)/a) is -ln(1-a)+ln(a)

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simplify-ln((1-a)/a)

simplify

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

- ln (1 - a) + ln (a)

Solution steps

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

Apply log rule:

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

ln (\frac{1 - a}{a}) = ln (1 - a) - ln (a)

= - (ln (- a + 1) - ln (a))

Distribute parentheses

= - (ln (1 - a)) - (- ln (a))

Apply minus-plus rules

- (- a) = a, - (a) = - a

= - ln (1 - a) + ln (a)

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

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

2 ln (e^{8} + 5) - 2 ln (e^{6} + 5)

ln (\frac{1 - 0.04}{10 - 0.04})

ln (y (y - 1))

What is simplify-ln((1-a)/a) ?
The solution to simplify-ln((1-a)/a) is -ln(1-a)+ln(a)