simplify ln(4/11)

Solution

simplify

ln (\frac{4}{11})

2 ln (2) - ln (11)

Decimal Notation

- 1.01160 \dots

Solution steps

ln (\frac{4}{11})

Apply log rule:

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

ln (\frac{4}{11}) = ln (4) - ln (11)

= ln (4) - ln (11)

ln (4) = 2 ln (2)

= 2 ln (2) - ln (11)

ln (∣ 2 + 2 ∣^{1.75} ∣ 2 - 3 ∣^{0.25} ∣ 2 ∣^{2})

ln (2 \cdot \frac{5890}{5680})

lo g_{\frac{1}{2}} (2 e^{3})

ln (\frac{3}{2 e})

\frac{0.01 \cdot 2415}{π \cdot 0.003 \cdot 51271} \cdot ln (\frac{10}{60})