simplify ln((xc)/m)

Solution

simplify

ln (\frac{x c}{m})

ln (x) + ln (c) - ln (m)

Solution steps

ln (\frac{x c}{m})

Apply log rule:

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

ln (\frac{x c}{m}) = ln (x c) - ln (m)

= ln (c x) - ln (m)

Apply log rule:

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

ln (x c) = ln (x) + ln (c)

= ln (x) + ln (c) - ln (m)

4 ln (9 x) + 4

7 ln (7) (ln (6) - ln (2))

4 ln (6) - 4 ln (3)

- lo g_{10} (5.6 \cdot 1 0^{- 7})

ln (\frac{75}{40})