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Popular >

simplify ln((-4i)/(1-i))

Solution

simplify

ln (\frac{- 4 i}{1 - i})

Solution

2 ln (2) + ln (i) - ln (1 - i)

Solution steps

ln (\frac{- 4 i}{1 - i})

Apply log rule:

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

ln (\frac{- 4 i}{1 - i}) = ln (- 4 i) - ln (1 - i)

= ln (- 4 i) - ln (1 - i)

Apply log rule:

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

ln (- 4 i) = ln (4) + ln (i)

= ln (4) + ln (i) - ln (1 - i)

ln (4) = 2 ln (2)

= 2 ln (2) + ln (i) - ln (1 - i)

Popular Examples

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ln (\frac{112}{133})

Frequently Asked Questions (FAQ)

What is ln((-4i)/(1-i)) ?
The solution to ln((-4i)/(1-i)) is 2ln(2)+ln(i)-ln(1-i)