simplify ln(9/13)

Solution

simplify

ln (\frac{9}{13})

2 ln (3) - ln (13)

Decimal Notation

- 0.36772 \dots

Solution steps

ln (\frac{9}{13})

Apply log rule:

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

ln (\frac{9}{13}) = ln (9) - ln (13)

= ln (9) - ln (13)

ln (9) = 2 ln (3)

= 2 ln (3) - ln (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)

lo g_{10} (\frac{g j ^{5} k}{100})