simplify ln(3/6)

Solution

simplify

ln (\frac{3}{6})

ln (3) - ln (6)

Decimal Notation

- 0.69314 \dots

Solution steps

ln (\frac{3}{6})

Apply log rule:

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

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

= ln (3) - ln (6)

ln (x - 5) - ln (x)

5 ln (2) - 2 ln (\frac{7}{2}) + \frac{9}{2} - 25 ln (\frac{10}{7})

ln^{2} (\frac{1}{3})

4 (\frac{1}{9} ln ∣ x ∣ - \frac{1}{18} ln x^{2} + 3 + \frac{1}{6 ( x ^{2} + 3 )})

- lo g_{10} (2.6 \cdot 1 0^{- 7})