What is ln((-a)/(2b-a))-ln(-1) ?

The solution to ln((-a)/(2b-a))-ln(-1) is ln(a/(2b-a))

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simplify ln((-a)/(2b-a))-ln(-1)

simplify

ln (\frac{- a}{2 b - a}) - ln (- 1)

ln (\frac{a}{2 b - a})

Solution steps

ln (\frac{- a}{2 b - a}) - ln (- 1)

Apply log rule:

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

ln (\frac{- a}{2 b - a}) - ln (- 1) = ln (\frac{\frac{- a}{2 b - a}}{- 1})

= ln (\frac{\frac{- a}{2 b - a}}{- 1})

Simplify

\frac{\frac{- a}{2 b - a}}{- 1} : \frac{a}{2 b - a}

= ln (\frac{a}{2 b - a})

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\frac{9}{5} ln (4) - \frac{9}{5} ln (3)

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What is ln((-a)/(2b-a))-ln(-1) ?
The solution to ln((-a)/(2b-a))-ln(-1) is ln(a/(2b-a))