An algebra problem by Matthew Mills

Algebra Level 3

Evaluate the complex logarithm: log ⁡ ( − 10 ) \log(-10) .

-1 Undefined 1 + 2 * log(i) Does not exist

Matthew Mills by Matthew Mills , 23, USA

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1 solution

Tom Engelsman
Sep 17, 2017

l o g ( − 10 ) = l o g ( − 1 ) + l o g ( 10 ) = l o g ( i 2 ) + 1 = 2 ⋅ l o g ( i ) + 1 . log(-10) = log(-1) + log(10) = log(i^2) + 1 = \boxed{2 \cdot log(i) + 1}.

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