simplify ln(3/e)

Solution

simplify

ln (\frac{3}{e})

ln (3) - 1

Decimal Notation

0.09861 \dots

Solution steps

ln (\frac{3}{e})

Apply log rule:

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

ln (\frac{3}{e}) = ln (3) - ln (e)

= ln (3) - ln (e)

Apply log rule:

lo g_{a} (a) = 1

= ln (3) - 1

ln (t x)

lo g_{10} (\frac{a b ^{3}}{100 c})

\frac{1}{5} \cdot lo g_{7} (x) - \frac{1}{3} \cdot lo g_{7} (y)

10 - 12 ln (x) - 18 ln (y)

lo g_{2} (\frac{1}{12})