simplify ln(10/8)

Solution

simplify

ln (\frac{10}{8})

ln (10) - 3 ln (2)

Decimal Notation

0.22314 \dots

Solution steps

ln (\frac{10}{8})

Apply log rule:

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

ln (\frac{10}{8}) = ln (10) - ln (8)

= ln (10) - ln (8)

ln (8) = 3 ln (2)

= ln (10) - 3 ln (2)

ln (\frac{9}{13})

4 lo g_{6} (x) - \frac{1}{3} lo g_{6} (y)

lo g_{7} ((x y z^{2})^{3})

5 ln ∣ x + 3 ∣ - \frac{8}{x + 3} + 5 ln ∣ x + 7 ∣

ln (e^{x} \cdot x)