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Popular >

simplify ln((-i)/(e^pi))

Solution

simplify

ln (\frac{- i}{e ^{π}})

Solution

ln (- i) - π

Solution steps

ln (\frac{- i}{e ^{π}})

Apply log rule:

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

ln (\frac{- 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

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Frequently Asked Questions (FAQ)

What is ln((-i)/(e^pi)) ?
The solution to ln((-i)/(e^pi)) is ln(-i)-pi