What is ln(1.05-0.2v)-ln(-0.55) ?

The solution to ln(1.05-0.2v)-ln(-0.55) is ln(-(1.05-0.2v)/(0.55))

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simplify ln(1.05-0.2v)-ln(-0.55)

simplify

ln (1.05 - 0.2 v) - ln (- 0.55)

ln (- \frac{1.05 - 0.2 v}{0.55})

Solution steps

ln (1.05 - 0.2 v) - ln (- 0.55)

Apply log rule:

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

ln (1.05 - 0.2 v) - ln (- 0.55) = ln (\frac{- 0.2 v + 1.05}{- 0.55})

= ln (\frac{1.05 - 0.2 v}{- 0.55})

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= ln (- \frac{1.05 - 0.2 v}{0.55})

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What is ln(1.05-0.2v)-ln(-0.55) ?
The solution to ln(1.05-0.2v)-ln(-0.55) is ln(-(1.05-0.2v)/(0.55))