simplify ln(5/14)

Solution

simplify

ln (\frac{5}{14})

ln (5) - ln (14)

Decimal Notation

- 1.02961 \dots

Solution steps

ln (\frac{5}{14})

Apply log rule:

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

ln (\frac{5}{14}) = ln (5) - ln (14)

= ln (5) - ln (14)

\frac{( - \frac{1}{2} ln ( x ) - \frac{1}{4} ln ( 2 + x ^{2} ) )}{e}

20 \cdot lo g_{10} (\frac{4 \cdot π \cdot 30 \cdot 1 0 ^{3}}{\frac{300}{175}})

\frac{1}{4} ln (10 + 101)

ln (\frac{1}{2 π} \cdot e^{- \frac{( x - y ) ^{2}}{2}})

ln_{e} (2) 2