What is log_{10}((3+i)/2) ?

The solution to log_{10}((3+i)/2) is log_{10}(3/2+1/2 i)

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simplify log_{10}((3+i)/2)

simplify

lo g_{10} (\frac{3 + i}{2})

lo g_{10} (\frac{3}{2} + \frac{1}{2} i)

Solution steps

lo g_{10} (\frac{3 + i}{2})

Rewrite in standard complex form:

lo g_{10} (\frac{3}{2} + \frac{1}{2} i)

= lo g_{10} (\frac{3}{2} + \frac{1}{2} i)

\frac{1}{3} ln (\frac{3 x + 16 + 9 x ^{2}}{4}) + C

ln ((0.5 + \frac{0.044315}{2}) (1.05))

3 (- \frac{1}{6} ln ∣ x + 2 ∣ + \frac{1}{6} ln ∣ x - 4 ∣) + C

lo g_{3} ((2 x)^{2})

ln (\frac{1}{a b ^{3}})

What is log_{10}((3+i)/2) ?
The solution to log_{10}((3+i)/2) is log_{10}(3/2+1/2 i)