The value of Z satisfying the equation log Z -log z 2-log z 3-log z n -0 isA- cis4 k - n - k -0-1-2-3- -B- cis 4 k - n 2- k -0-1-2-3- -C- cis 4 k -nn-1- k-0-1-2-3- -D- cis4 k - n n -1- k -0-1-2-3- -

The correct option is C log Z+log z^2+log z^3+.....+log z^n=0 ⇒ log z^n(n+1)/2=0 ⇒ z^n(n+1)/2=1 then z is n(n+1)/2th root of unity ...

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Modulus of a Complex Number

The value of ...

Question

The value of Z satisfying the equation $l o g Z + l o g z^{2} + l o g z^{3} + . . . . . + l o g z^{n} = 0$ is

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