simplify ln((3i)/n)

Solution

simplify

ln (\frac{3 i}{n})

ln (3) + ln (i) - ln (n)

Solution steps

ln (\frac{3 i}{n})

Apply log rule:

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

ln (\frac{3 i}{n}) = ln (3 i) - ln (n)

= ln (3 i) - ln (n)

Apply log rule:

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

ln (3 i) = ln (3) + ln (i)

= ln (3) + ln (i) - ln (n)

ln (\frac{343.15}{463.15})

\frac{6}{5} ln ∣ z - 1 ∣ - \frac{6}{5} ln ∣ z + 4 ∣

lo g_{2} ((4 u v^{3})^{2})

lo g_{e} (\frac{4}{3})

2 lo g_{2} (y - 6) - 4 lo g_{2} (y + 7)