simplify 2ln(7/8)

Solution

simplify

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

2 (ln (7) - 3 ln (2))

Decimal Notation

- 0.26706 \dots

Solution steps

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

Apply log rule:

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

ln (\frac{7}{8}) = ln (7) - ln (8)

= 2 (ln (7) - ln (8))

ln (8) = 3 ln (2)

= 2 (ln (7) - 3 ln (2))

ln (96) - ln (3)

lo g_{3} (5 x^{5})

ln ∣ L + V x ∣ - ln ∣ L + V y ∣

(ln (1 - x^{2}) - ln (1 + x^{2}))^{2}

ln (cos (2 x) \frac{x + 4}{x})