What is ln((108/180)/(-5)) ?

The solution to ln((108/180)/(-5)) is ln(108)-ln(180)-ln(-5)

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simplify ln((108/180)/(-5))

simplify

ln (\frac{\frac{108}{180}}{- 5})

ln (108) - ln (180) - ln (- 5)

Solution steps

ln (\frac{\frac{108}{180}}{- 5})

Apply log rule:

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

ln (\frac{\frac{108}{180}}{- 5}) = ln (\frac{108}{180}) - ln (- 5)

= ln (\frac{108}{180}) - ln (- 5)

Apply log rule:

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

ln (\frac{108}{180}) = ln (108) - ln (180)

= ln (108) - ln (180) - ln (- 5)

\frac{1}{3} ln (\frac{11}{7})

\frac{1}{2} ln (36) + 2 ln (4) - ln (4)

lo g_{10} (z^{4} x)

ln (0.7) - ln (0.3)

2 ln (\frac{7}{8})

What is ln((108/180)/(-5)) ?
The solution to ln((108/180)/(-5)) is ln(108)-ln(180)-ln(-5)