simplify ln(8/e)

Solution

simplify

ln (\frac{8}{e})

3 ln (2) - 1

Decimal Notation

1.07944 \dots

Solution steps

ln (\frac{8}{e})

Apply log rule:

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

ln (\frac{8}{e}) = ln (8) - ln (e)

= ln (8) - ln (e)

Apply log rule:

lo g_{a} (a) = 1

= ln (8) - 1

ln (8) = 3 ln (2)

= 3 ln (2) - 1

ln (25) - ln (14)

- ln (x + 2) + ln (x)

ln (2.4 e^{- 7}) - 14

\frac{1}{15} ln (\frac{0.267 - 0.017}{0.095 - 0.017})

0.56 + 0.027 \cdot ln (\frac{1 0 ^{16}}{1.5 \cdot 1 0 ^{10}})