simplify 3/x-ln(3x)

Solution

simplify

\frac{3}{x} - ln (3 x)

\frac{3}{x} - ln (3) - ln (x)

Solution steps

\frac{3}{x} - ln (3 x)

Apply log rule:

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

ln (3 x) = ln (3) + ln (x)

= \frac{3}{x} - (ln (x) + ln (3))

- (ln (3) + ln (x)) : - ln (3) - ln (x)

= \frac{3}{x} - ln (3) - ln (x)

ln (\frac{10}{627.6 8 ^{2}})

lo g_{2} (\frac{n}{e})

lo g_{4} (4^{x} sin^{2} (x))

4.184 \cdot ln (\frac{446.15}{273.15})

ln (149 e^{2 x + 11} e^{- y - 17})