simplify ln(-ie^pi)

Solution

simplify

ln (- i e^{π})

ln (i) + π

Solution steps

ln (- i e^{π})

Apply log rule:

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

ln (- i e^{π}) = ln (i) + ln (e^{π})

= ln (i) + ln (e^{π})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (e^{π}) = π ln (e)

= ln (i) + π ln (e)

π ln (e) = π

= ln (i) + π

ln (x - 2) - ln (x + 2) + 2 ln (x)

7 ln (t) - 6 ln (s) + 5 ln (w)

ln (\frac{a}{b ^{3}})

lo g_{10} (\frac{π}{2})

ln (\frac{( w ^{3} )}{z})