What is ln(((((-4/3))/((-7/6))))/2) ?

The solution to ln(((((-4/3))/((-7/6))))/2) is ln(-4/3)-ln(-7/6)-ln(2)

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simplify ln(((((-4/3))/((-7/6))))/2)

simplify

ln \frac{( \frac{( - \frac{4}{3} )}{( - \frac{7}{6} )} )}{2}

ln (- \frac{4}{3}) - ln (- \frac{7}{6}) - ln (2)

Solution steps

ln \frac{( \frac{( - \frac{4}{3} )}{( - \frac{7}{6} )} )}{2}

Apply log rule:

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

ln \frac{( \frac{( - \frac{4}{3} )}{( - \frac{7}{6} )} )}{2} = ln ((\frac{( - \frac{4}{3} )}{( - \frac{7}{6} )})) - ln (2)

= ln (\frac{- \frac{4}{3}}{- \frac{7}{6}}) - ln (2)

Apply log rule:

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

ln (\frac{- \frac{4}{3}}{- \frac{7}{6}}) = ln (- \frac{4}{3}) - ln (- \frac{7}{6})

= ln (- \frac{4}{3}) - ln (- \frac{7}{6}) - ln (2)

2 ln (2) + 3 ln (3)

ln (\frac{0.063}{0.0295})

lo g_{8} (2 - x) + lo g_{8} (4 - x)

0.2 ln (30) + 0.8 ln (5)

What is ln(((((-4/3))/((-7/6))))/2) ?
The solution to ln(((((-4/3))/((-7/6))))/2) is ln(-4/3)-ln(-7/6)-ln(2)