simplify ln(5/1)

Solution

simplify

ln (\frac{5}{1})

ln (5)

Decimal Notation

1.60943 \dots

Solution steps

ln (\frac{5}{1})

Apply log rule:

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

ln (\frac{5}{1}) = ln (5) - ln (1)

= ln (5) - ln (1)

Apply log rule:

lo g_{a} (1) = 0

= ln (5) - 0

ln (5) - 0 = ln (5)

= ln (5)

ln (x e^{- x y})

lo g_{18} (\frac{13 r}{s})

54 (\frac{1}{5} ln ∣ n + 1 ∣ - \frac{1}{5} (ln ∣ n + 6 ∣ - ln (6)))

lo g_{10} (\frac{x ^{5}}{y ^{3}})