simplify ln(6/e)

Solution

simplify

ln (\frac{6}{e})

ln (6) - 1

Decimal Notation

0.79175 \dots

Solution steps

ln (\frac{6}{e})

Apply log rule:

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

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

= ln (6) - ln (e)

Apply log rule:

lo g_{a} (a) = 1

= ln (6) - 1

lo g_{2} (2) + lo g_{2} (9) + lo g_{2} (6)

ln ∣ 7 - 2 ∣ - \frac{3}{2} ln ∣ 2 \cdot 7 - 1 ∣ + 2 ln ∣ 7 + 3 ∣

lo g_{10} (\frac{2 x ^{2}}{( y - 1 ) ^{3}})

\frac{1}{50} ln (\frac{1260}{980})

ln (8 e^{8 x})