simplify ln(r/(2s))

Solution

simplify

ln (\frac{r}{2 s})

ln (r) - ln (2) - ln (s)

Solution steps

ln (\frac{r}{2 s})

Apply log rule:

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

ln (\frac{r}{2 s}) = ln (r) - ln (2 s)

= ln (r) - ln (2 s)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (2 s) = ln (2) + ln (s)

= ln (r) - (ln (s) + ln (2))

- (ln (2) + ln (s)) : - ln (2) - ln (s)

= ln (r) - ln (2) - ln (s)

ln (22.4 \cdot 1 0^{- 7})

ln (\frac{x + 4}{x - 4})

lo g_{9} ((z x y^{2})^{3})

100 + 20 \cdot ln (\frac{65}{65 - 64})

- lo g_{10} (3.25 \cdot 1 0^{- 4})