What is ln((-4.15+8.05)/(31.8)) ?

The solution to ln((-4.15+8.05)/(31.8)) is ln(3.9)-ln(31.8)

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simplify ln((-4.15+8.05)/(31.8))

simplify

ln (\frac{- 4.15 + 8.05}{31.8})

ln (3.9) - ln (31.8)

Decimal Notation

- 2.09848 \dots

Solution steps

ln (\frac{- 4.15 + 8.05}{31.8})

Apply log rule:

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

ln (\frac{- 4.15 + 8.05}{31.8}) = ln (- 4.15 + 8.05) - ln (31.8)

= ln (8.05 - 4.15) - ln (31.8)

Add/Subtract the numbers:

- 4.15 + 8.05 = 3.9

= ln (3.9) - ln (31.8)

- (\frac{17}{30}) lo g_{2} (\frac{17}{30}) - (\frac{13}{30}) lo g_{2} (\frac{13}{30})

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

lo g_{10} (\frac{y}{5})

2^{0} ln (2) - 3^{0} ln (3)

lo g_{5} (x) - lo g_{5} (x^{4})

What is ln((-4.15+8.05)/(31.8)) ?
The solution to ln((-4.15+8.05)/(31.8)) is ln(3.9)-ln(31.8)