simplify ln(s/(5p))

Solution

simplify

ln (\frac{s}{5 p})

ln (s) - ln (5) - ln (p)

Solution steps

ln (\frac{s}{5 p})

Apply log rule:

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

ln (\frac{s}{5 p}) = ln (s) - ln (5 p)

= ln (s) - ln (5 p)

Apply log rule:

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

ln (5 p) = ln (5) + ln (p)

= ln (s) - (ln (p) + ln (5))

- (ln (5) + ln (p)) : - ln (5) - ln (p)

= ln (s) - ln (5) - ln (p)

ln ((x^{2} + 1) (x - 1))

ln (a (a + 1)^{5})

3 ln (x^{2}) + ln (x)

\frac{1}{6} ln (\frac{97}{100})

\frac{ln ( x ) - ln ( 2 )}{x - 2}