simplify ln(4/e)

Solution

simplify

ln (\frac{4}{e})

2 ln (2) - 1

Decimal Notation

0.38629 \dots

Solution steps

ln (\frac{4}{e})

Apply log rule:

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

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

= ln (4) - ln (e)

Apply log rule:

lo g_{a} (a) = 1

= ln (4) - 1

ln (4) = 2 ln (2)

= 2 ln (2) - 1

ln (\frac{1}{θ + a})

- \frac{1}{2} lo g_{10} (s) + 3 lo g_{10} (t)

ln (\frac{x ^{3} - 10}{x ^{3} - 3})

- lo g_{10} (\frac{1}{40000})

ln (\frac{x ^{2}}{5})