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Popular >

simplify ln(1/(sqrt(-1)))

Solution

simplify

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

Solution

- ln (i)

Solution steps

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

Apply log rule:

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

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

= ln (1) - ln (- 1)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (- 1)

- 1 = i

= 0 - ln (i)

0 - ln (i) = - ln (i)

= - ln (i)

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Frequently Asked Questions (FAQ)

What is ln(1/(sqrt(-1))) ?
The solution to ln(1/(sqrt(-1))) is -ln(i)